101000132121000 has 256 divisors, whose sum is σ = 363634103439360. Its totient is φ = 22861610553600.

The previous prime is 101000132120981. The next prime is 101000132121001. The reversal of 101000132121000 is 121231000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101000132121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21184234 + ... + 25510233.

It is an arithmetic number, because the mean of its divisors is an integer number (1420445716560).

Almost surely, 2^{101000132121000} is an apocalyptic number.

101000132121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000132121000 is an abundant number, since it is smaller than the sum of its proper divisors (262633971318360).

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

101000132121000 is a wasteful number, since it uses less digits than its factorization.

101000132121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46694601 (or 46694587 counting only the distinct ones).

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

Adding to 101000132121000 its reverse (121231000101), we get a palindrome (101121363121101).

The spelling of 101000132121000 in words is "one hundred one trillion, one hundred thirty-two million, one hundred twenty-one thousand".