101321210100 has 72 divisors (see below), whose sum is σ = 319806593568. Its totient is φ = 24562716800.

The previous prime is 101321210083. The next prime is 101321210171. The reversal of 101321210100 is 1012123101.

It is a super-2 number, since 2×101321210100² (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15348399 + ... + 15354998.

It is an arithmetic number, because the mean of its divisors is an integer number (4441758244).

Almost surely, 2^101321210100 is an apocalyptic number.

101321210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321210100 is an abundant number, since it is smaller than the sum of its proper divisors (218485383468).

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

101321210100 is a wasteful number, since it uses less digits than its factorization.

101321210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30703425 (or 30703418 counting only the distinct ones).

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

Adding to 101321210100 its reverse (1012123101), we get a palindrome (102333333201).

The spelling of 101321210100 in words is "one hundred one billion, three hundred twenty-one million, two hundred ten thousand, one hundred".