10201002120111 has 32 divisors (see below), whose sum is σ = 15258208105728. Its totient is φ = 6007689008640.

The previous prime is 10201002120047. The next prime is 10201002120149. The reversal of 10201002120111 is 11102120010201.

It is not a de Polignac number, because 10201002120111 - 2⁶ = 10201002120047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002120181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4346970 + ... + 6268823.

It is an arithmetic number, because the mean of its divisors is an integer number (476819003304).

Almost surely, 2^{10201002120111} is an apocalyptic number.

10201002120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10201002120111 is a deficient number, since it is larger than the sum of its proper divisors (5057205985617).

10201002120111 is a wasteful number, since it uses less digits than its factorization.

10201002120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616631.

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

Adding to 10201002120111 its reverse (11102120010201), we get a palindrome (21303122130312).

The spelling of 10201002120111 in words is "ten trillion, two hundred one billion, two million, one hundred twenty thousand, one hundred eleven".