10201011212111 has 16 divisors (see below), whose sum is σ = 10334449788768. Its totient is φ = 10068257472000.

The previous prime is 10201011212101. The next prime is 10201011212131. The reversal of 10201011212111 is 11121211010201.

It is a cyclic number.

It is not a de Polignac number, because 10201011212111 - 2²⁶ = 10200944103247 is a prime.

It is a super-2 number, since 2×10201011212111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201011212101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41921651 + ... + 42164283.

It is an arithmetic number, because the mean of its divisors is an integer number (645903111798).

Almost surely, 2^{10201011212111} is an apocalyptic number.

10201011212111 is a deficient number, since it is larger than the sum of its proper divisors (133438576657).

10201011212111 is a wasteful number, since it uses less digits than its factorization.

10201011212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244042.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10201011212111 its reverse (11121211010201), we get a palindrome (21322222222312).

The spelling of 10201011212111 in words is "ten trillion, two hundred one billion, eleven million, two hundred twelve thousand, one hundred eleven".