100212010022020 has 48 divisors (see below), whose sum is σ = 226662179047920. Its totient is φ = 36996645044736.

The previous prime is 100212010022017. The next prime is 100212010022029. The reversal of 100212010022020 is 20220010212001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 68035343709316 + 32176666312704 = 8248354^2 + 5672448^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100212010022029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22498575 + ... + 26582134.

It is an arithmetic number, because the mean of its divisors is an integer number (4722128730165).

Almost surely, 2^{100212010022020} is an apocalyptic number.

100212010022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212010022020 is an abundant number, since it is smaller than the sum of its proper divisors (126450169025900).

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

100212010022020 is a wasteful number, since it uses less digits than its factorization.

100212010022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49088584 (or 49088582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100212010022020 its reverse (20220010212001), we get a palindrome (120432020234021).

The spelling of 100212010022020 in words is "one hundred trillion, two hundred twelve billion, ten million, twenty-two thousand, twenty".