10101122110101 has 64 divisors (see below), whose sum is σ = 15266211803136. Its totient is φ = 5886945504000.

The previous prime is 10101122109961. The next prime is 10101122110159.

10101122110101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10101122110101 - 2²⁵ = 10101088555669 is a prime.

It is a super-3 number, since 3×10101122110101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122110501) 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, 69356980 + ... + 69502466.

It is an arithmetic number, because the mean of its divisors is an integer number (238534559424).

Almost surely, 2^{10101122110101} is an apocalyptic number.

10101122110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101122110101 is a deficient number, since it is larger than the sum of its proper divisors (5165089693035).

10101122110101 is a wasteful number, since it uses less digits than its factorization.

10101122110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146202.

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

It can be divided in two parts, 1010112 and 2110101, that multiplied together give a palindrome (2131438341312).

The spelling of 10101122110101 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".