100021002100120 has 16 divisors (see below), whose sum is σ = 225047254725360. Its totient is φ = 40008400840032.

The previous prime is 100021002100081. The next prime is 100021002100139. The reversal of 100021002100120 is 21001200120001.

It is a super-2 number, since 2×100021002100120² (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 a junction number, because it is equal to n+sod(n) for n = 100021002100097 and 100021002100106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1250262526212 + ... + 1250262526291.

It is an arithmetic number, because the mean of its divisors is an integer number (14065453420335).

Almost surely, 2^{100021002100120} is an apocalyptic number.

100021002100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021002100120 is an abundant number, since it is smaller than the sum of its proper divisors (125026252625240).

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

100021002100120 is a wasteful number, since it uses less digits than its factorization.

100021002100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500525052514 (or 2500525052510 counting only the distinct ones).

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

Adding to 100021002100120 its reverse (21001200120001), we get a palindrome (121022202220121).

The spelling of 100021002100120 in words is "one hundred trillion, twenty-one billion, two million, one hundred thousand, one hundred twenty".