101022100120 has 16 divisors (see below), whose sum is σ = 227299725360. Its totient is φ = 40408840032.

The previous prime is 101022100079. The next prime is 101022100187. The reversal of 101022100120 is 21001220101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101022100097 and 101022100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262776212 + ... + 1262776291.

It is an arithmetic number, because the mean of its divisors is an integer number (14206232835).

Almost surely, 2^101022100120 is an apocalyptic number.

101022100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022100120 is an abundant number, since it is smaller than the sum of its proper divisors (126277625240).

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

101022100120 is a wasteful number, since it uses less digits than its factorization.

101022100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525552514 (or 2525552510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022100120 its reverse (21001220101), we get a palindrome (122023320221).

The spelling of 101022100120 in words is "one hundred one billion, twenty-two million, one hundred thousand, one hundred twenty".