10100022202100 has 72 divisors (see below), whose sum is σ = 23071224909600. Its totient is φ = 3827269353600.

The previous prime is 10100022202099. The next prime is 10100022202117. The reversal of 10100022202100 is 120222000101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111410591 + ... + 111501209.

It is an arithmetic number, because the mean of its divisors is an integer number (320433679300).

Almost surely, 2^{10100022202100} is an apocalyptic number.

10100022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100022202100 is an abundant number, since it is smaller than the sum of its proper divisors (12971202707500).

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

10100022202100 is a wasteful number, since it uses less digits than its factorization.

10100022202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149313 (or 149306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100022202100 its reverse (120222000101), we get a palindrome (10220244202201).

The spelling of 10100022202100 in words is "ten trillion, one hundred billion, twenty-two million, two hundred two thousand, one hundred".