101121023100 has 72 divisors (see below), whose sum is σ = 299380977280. Its totient is φ = 26338495680.

The previous prime is 101121023053. The next prime is 101121023111. The reversal of 101121023100 is 1320121101.

It is a super-2 number, since 2×101121023100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3906520 + ... + 3932319.

Almost surely, 2^101121023100 is an apocalyptic number.

101121023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121023100 is an abundant number, since it is smaller than the sum of its proper divisors (198259954180).

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

101121023100 is a wasteful number, since it uses less digits than its factorization.

101121023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838899 (or 7838892 counting only the distinct ones).

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

Adding to 101121023100 its reverse (1320121101), we get a palindrome (102441144201).

The spelling of 101121023100 in words is "one hundred one billion, one hundred twenty-one million, twenty-three thousand, one hundred".