101131211121000 has 64 divisors (see below), whose sum is σ = 315529378706880. Its totient is φ = 26968322964800.

The previous prime is 101131211120981. The next prime is 101131211121029. The reversal of 101131211121000 is 121112131101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16855198854 + ... + 16855204853.

It is an arithmetic number, because the mean of its divisors is an integer number (4930146542295).

Almost surely, 2^{101131211121000} is an apocalyptic number.

101131211121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131211121000 is an abundant number, since it is smaller than the sum of its proper divisors (214398167585880).

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

101131211121000 is a wasteful number, since it uses less digits than its factorization.

101131211121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33710403731 (or 33710403717 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101131211121000 its reverse (121112131101), we get a palindrome (101252323252101).

The spelling of 101131211121000 in words is "one hundred one trillion, one hundred thirty-one billion, two hundred eleven million, one hundred twenty-one thousand".