1010102200100 has 72 divisors (see below), whose sum is σ = 2505186824448. Its totient is φ = 346302316800.

The previous prime is 1010102200073. The next prime is 1010102200127. The reversal of 1010102200100 is 10022010101.

1010102200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010102200073) and next prime (1010102200127).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22877045 + ... + 22921155.

Almost surely, 2^{1010102200100} is an apocalyptic number.

1010102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010102200100 is an abundant number, since it is smaller than the sum of its proper divisors (1495084624348).

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

1010102200100 is a wasteful number, since it uses less digits than its factorization.

1010102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76845 (or 76838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010102200100 its reverse (10022010101), we get a palindrome (1020124210201).

The spelling of 1010102200100 in words is "one trillion, ten billion, one hundred two million, two hundred thousand, one hundred".