101012121110000 has 100 divisors (see below), whose sum is σ = 252993565987800. Its totient is φ = 39011577696000.

The previous prime is 101012121109937. The next prime is 101012121110129. The reversal of 101012121110000 is 11121210101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×101012121110000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173868830 + ... + 174448829.

It is an arithmetic number, because the mean of its divisors is an integer number (2529935659878).

Almost surely, 2^{101012121110000} is an apocalyptic number.

101012121110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012121110000 is an abundant number, since it is smaller than the sum of its proper divisors (151981444877800).

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

101012121110000 is an equidigital number, since it uses as much as digits as its factorization.

101012121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348317716 (or 348317695 counting only the distinct ones).

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

Adding to 101012121110000 its reverse (11121210101), we get a palindrome (101023242320101).

The spelling of 101012121110000 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, one hundred ten thousand".