10001000112100 has 18 divisors (see below), whose sum is σ = 21702170243474. Its totient is φ = 4000400044800.

The previous prime is 10001000112091. The next prime is 10001000112127. The reversal of 10001000112100 is 121100010001.

It can be written as a sum of positive squares in 3 ways, for example, as 858202137664 + 9142797974436 = 926392^2 + 3023706^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50005000461 + ... + 50005000660.

Almost surely, 2^{10001000112100} is an apocalyptic number.

10001000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001000112100 is an abundant number, since it is smaller than the sum of its proper divisors (11701170131374).

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

10001000112100 is a wasteful number, since it uses less digits than its factorization.

10001000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100010001135 (or 100010001128 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001000112100 its reverse (121100010001), we get a palindrome (10122100122101).

The spelling of 10001000112100 in words is "ten trillion, one billion, one hundred twelve thousand, one hundred".