20101100101900 has 18 divisors (see below), whose sum is σ = 43619387221340. Its totient is φ = 8040440040720.

The previous prime is 20101100101891. The next prime is 20101100101909. The reversal of 20101100101900 is 910100110102.

It is an interprime number because it is at equal distance from previous prime (20101100101891) and next prime (20101100101909).

It is a super-2 number, since 2×20101100101900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101100101909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100505500410 + ... + 100505500609.

Almost surely, 2^{20101100101900} is an apocalyptic number.

20101100101900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101100101900 is an abundant number, since it is smaller than the sum of its proper divisors (23518287119440).

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

20101100101900 is a wasteful number, since it uses less digits than its factorization.

20101100101900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201011001033 (or 201011001026 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 20101100101900 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred one thousand, nine hundred".