100102011120100 has 324 divisors, whose sum is σ = 262381395070620. Its totient is φ = 33078115840000.

The previous prime is 100102011120053. The next prime is 100102011120113. The reversal of 100102011120100 is 1021110201001.

It can be written as a sum of positive squares in 18 ways, for example, as 23546930940324 + 76555080179776 = 4852518^2 + 8749576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 100916550 + ... + 101903650.

Almost surely, 2^{100102011120100} is an apocalyptic number.

100102011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102011120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131190697535310).

100102011120100 is an abundant number, since it is smaller than the sum of its proper divisors (162279383950520).

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

100102011120100 is a wasteful number, since it uses less digits than its factorization.

100102011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987200 (or 987165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102011120100 its reverse (1021110201001), we get a palindrome (101123121321101).

The spelling of 100102011120100 in words is "one hundred trillion, one hundred two billion, eleven million, one hundred twenty thousand, one hundred".