1002100212100 has 72 divisors (see below), whose sum is σ = 2479585936968. Its totient is φ = 348241152000.

The previous prime is 1002100212089. The next prime is 1002100212109. The reversal of 1002100212100 is 12120012001.

It can be written as a sum of positive squares in 12 ways, for example, as 314010053956 + 688090158144 = 560366^2 + 829512^2 .

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 (1002100212109) 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, 22649851 + ... + 22694050.

It is an arithmetic number, because the mean of its divisors is an integer number (34438693569).

Almost surely, 2^{1002100212100} is an apocalyptic number.

1002100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002100212100 is an abundant number, since it is smaller than the sum of its proper divisors (1477485724868).

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

1002100212100 is a wasteful number, since it uses less digits than its factorization.

1002100212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45343945 (or 45343938 counting only the distinct ones).

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

Adding to 1002100212100 its reverse (12120012001), we get a palindrome (1014220224101).

The spelling of 1002100212100 in words is "one trillion, two billion, one hundred million, two hundred twelve thousand, one hundred".