10200101100100 has 36 divisors (see below), whose sum is σ = 22173957783684. Its totient is φ = 4072715390080.

The previous prime is 10200101100083. The next prime is 10200101100143. The reversal of 10200101100100 is 100110100201.

It can be written as a sum of positive squares in 6 ways, for example, as 540648442944 + 9659452657156 = 735288^2 + 3107966^2 .

It is a super-2 number, since 2×10200101100100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91507147 + ... + 91618546.

It is an arithmetic number, because the mean of its divisors is an integer number (615943271769).

Almost surely, 2^{10200101100100} is an apocalyptic number.

10200101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200101100100 is an abundant number, since it is smaller than the sum of its proper divisors (11973856683584).

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

10200101100100 is a wasteful number, since it uses less digits than its factorization.

10200101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183126264 (or 183126257 counting only the distinct ones).

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

Adding to 10200101100100 its reverse (100110100201), we get a palindrome (10300211200301).

The spelling of 10200101100100 in words is "ten trillion, two hundred billion, one hundred one million, one hundred thousand, one hundred".