20101012100211 has 96 divisors (see below), whose sum is σ = 33907957171200. Its totient is φ = 10516978289664.

The previous prime is 20101012100201. The next prime is 20101012100231. The reversal of 20101012100211 is 11200121010102.

It is not a de Polignac number, because 20101012100211 - 2⁵ = 20101012100179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20101012100201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1063592440 + ... + 1063611338.

It is an arithmetic number, because the mean of its divisors is an integer number (353207887200).

Almost surely, 2^{20101012100211} is an apocalyptic number.

20101012100211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20101012100211 is a deficient number, since it is larger than the sum of its proper divisors (13806945070989).

20101012100211 is a wasteful number, since it uses less digits than its factorization.

20101012100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30473 (or 30466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101012100211 its reverse (11200121010102), we get a palindrome (31301133110313).

The spelling of 20101012100211 in words is "twenty trillion, one hundred one billion, twelve million, one hundred thousand, two hundred eleven".