1001100122000 has 80 divisors (see below), whose sum is σ = 2640720161664. Its totient is φ = 364036400000.

The previous prime is 1001100121979. The next prime is 1001100122017. The reversal of 1001100122000 is 2210011001.

1001100122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22730276 + ... + 22774275.

Almost surely, 2^{1001100122000} is an apocalyptic number.

1001100122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100122000 is an abundant number, since it is smaller than the sum of its proper divisors (1639620039664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001100122000 is a wasteful number, since it uses less digits than its factorization.

1001100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45504585 (or 45504569 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001100122000 its reverse (2210011001), we get a palindrome (1003310133001).

It can be divided in two parts, 10011001 and 22000, that added together give a palindrome (10033001).

The spelling of 1001100122000 in words is "one trillion, one billion, one hundred million, one hundred twenty-two thousand".