100020121002100 has 72 divisors (see below), whose sum is σ = 233968263793208. Its totient is φ = 36894334809600.

The previous prime is 100020121002079. The next prime is 100020121002101. The reversal of 100020121002100 is 1200121020001.

It can be written as a sum of positive squares in 12 ways, for example, as 59678035224336 + 40342085777764 = 7725156^2 + 6351542^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020121002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36350739 + ... + 39005338.

Almost surely, 2^{100020121002100} is an apocalyptic number.

100020121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121002100 is an abundant number, since it is smaller than the sum of its proper divisors (133948142791108).

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

100020121002100 is a wasteful number, since it uses less digits than its factorization.

100020121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75357125 (or 75357118 counting only the distinct ones).

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

Adding to 100020121002100 its reverse (1200121020001), we get a palindrome (101220242022101).

The spelling of 100020121002100 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two thousand, one hundred".