100020112210000 has 50 divisors (see below), whose sum is σ = 242158693695842. Its totient is φ = 40008044880000.

The previous prime is 100020112209977. The next prime is 100020112210003. The reversal of 100020112210000 is 12211020001.

It can be written as a sum of positive squares in 5 ways, for example, as 33838047434304 + 66182064775696 = 5817048^2 + 8135236^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 (100020112210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5000995611 + ... + 5001015610.

Almost surely, 2^{100020112210000} is an apocalyptic number.

100020112210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020112210000 is an abundant number, since it is smaller than the sum of its proper divisors (142138581485842).

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

100020112210000 is an equidigital number, since it uses as much as digits as its factorization.

100020112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002011249 (or 10002011228 counting only the distinct ones).

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

Adding to 100020112210000 its reverse (12211020001), we get a palindrome (100032323230001).

The spelling of 100020112210000 in words is "one hundred trillion, twenty billion, one hundred twelve million, two hundred ten thousand".