10010100112100 has 108 divisors (see below), whose sum is σ = 24112557507444. Its totient is φ = 3603996000000.

The previous prime is 10010100112097. The next prime is 10010100112121. The reversal of 10010100112100 is 121100101001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 150537792064 + 9859562320036 = 387992^2 + 3139994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2873351 + ... + 5317550.

Almost surely, 2^{10010100112100} is an apocalyptic number.

10010100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100112100 is an abundant number, since it is smaller than the sum of its proper divisors (14102457395344).

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

10010100112100 is a wasteful number, since it uses less digits than its factorization.

10010100112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191038 (or 8191020 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010100112100 its reverse (121100101001), we get a palindrome (10131200213101).

The spelling of 10010100112100 in words is "ten trillion, ten billion, one hundred million, one hundred twelve thousand, one hundred".