101101011212000 has 48 divisors (see below), whose sum is σ = 248405184557712. Its totient is φ = 40440404483200.

The previous prime is 101101011211897. The next prime is 101101011212011. The reversal of 101101011212000 is 212110101101.

101101011212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12637622402 + ... + 12637630401.

It is an arithmetic number, because the mean of its divisors is an integer number (5175108011619).

Almost surely, 2^{101101011212000} is an apocalyptic number.

101101011212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101011212000 is an abundant number, since it is smaller than the sum of its proper divisors (147304173345712).

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

101101011212000 is an equidigital number, since it uses as much as digits as its factorization.

101101011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25275252828 (or 25275252810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101011212000 its reverse (212110101101), we get a palindrome (101313121313101).

The spelling of 101101011212000 in words is "one hundred one trillion, one hundred one billion, eleven million, two hundred twelve thousand".