10211012100111 has 64 divisors (see below), whose sum is σ = 14374923425280. Its totient is φ = 6439058841600.

The previous prime is 10211012100061. The next prime is 10211012100151. The reversal of 10211012100111 is 11100121011201.

It is not a de Polignac number, because 10211012100111 - 2¹⁰ = 10211012099087 is a prime.

It is a super-2 number, since 2×10211012100111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012100151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958685136 + ... + 958695786.

It is an arithmetic number, because the mean of its divisors is an integer number (224608178520).

Almost surely, 2^{10211012100111} is an apocalyptic number.

10211012100111 is a deficient number, since it is larger than the sum of its proper divisors (4163911325169).

10211012100111 is a wasteful number, since it uses less digits than its factorization.

10211012100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211012100111 its reverse (11100121011201), we get a palindrome (21311133111312).

The spelling of 10211012100111 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred thousand, one hundred eleven".