100202102010000 has 675 divisors, whose sum is σ = 356912497217133. Its totient is φ = 26234470080000.

The previous prime is 100202102009963. The next prime is 100202102010091. The reversal of 100202102010000 is 10201202001.

The square root of 100202102010000 is 10010100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 99153558777744 + 1048543232256 = 9957588^2 + 1023984^2 .

It is a super-2 number, since 2×100202102010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 183184829727 + ... + 183184830273.

Almost surely, 2^{100202102010000} is an apocalyptic number.

100202102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202102010000 is the 10010100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202102010000

100202102010000 is an abundant number, since it is smaller than the sum of its proper divisors (256710395207133).

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

100202102010000 is an frugal number, since it uses more digits than its factorization.

100202102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100202102010000 its reverse (10201202001), we get a palindrome (100212303212001).

The spelling of 100202102010000 in words is "one hundred trillion, two hundred two billion, one hundred two million, ten thousand".