120021002100100 has 72 divisors (see below), whose sum is σ = 264340860963200. Its totient is φ = 47290419285120.

The previous prime is 120021002100089. The next prime is 120021002100101. The reversal of 120021002100100 is 1001200120021.

It is a super-2 number, since 2×120021002100100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120021002100101) by changing a digit.

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, 235243477 + ... + 235753123.

Almost surely, 2^{120021002100100} is an apocalyptic number.

120021002100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021002100100 is an abundant number, since it is smaller than the sum of its proper divisors (144319858863100).

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

120021002100100 is a wasteful number, since it uses less digits than its factorization.

120021002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544877 (or 544870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120021002100100 its reverse (1001200120021), we get a palindrome (121022202220121).

The spelling of 120021002100100 in words is "one hundred twenty trillion, twenty-one billion, two million, one hundred thousand, one hundred".