100022002202100 has 144 divisors (see below), whose sum is σ = 315715888889856. Its totient is φ = 24246984048000.

The previous prime is 100022002202093. The next prime is 100022002202119. The reversal of 100022002202100 is 1202200220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106488717 + ... + 107423883.

It is an arithmetic number, because the mean of its divisors is an integer number (2192471450624).

Almost surely, 2^{100022002202100} is an apocalyptic number.

100022002202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022002202100 is an abundant number, since it is smaller than the sum of its proper divisors (215693886687756).

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

100022002202100 is a wasteful number, since it uses less digits than its factorization.

100022002202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967606 (or 967599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022002202100 its reverse (1202200220001), we get a palindrome (101224202422101).

The spelling of 100022002202100 in words is "one hundred trillion, twenty-two billion, two million, two hundred two thousand, one hundred".