10120111102101 has 64 divisors (see below), whose sum is σ = 18606774122496. Its totient is φ = 4721643705600.

The previous prime is 10120111102093. The next prime is 10120111102159.

10120111102101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10120111102101 - 2³ = 10120111102093 is a prime.

It is a super-2 number, since 2×10120111102101² (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 (10120111102601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45429435 + ... + 45651656.

It is an arithmetic number, because the mean of its divisors is an integer number (290730845664).

Almost surely, 2^{10120111102101} is an apocalyptic number.

10120111102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120111102101 is a deficient number, since it is larger than the sum of its proper divisors (8486663020395).

10120111102101 is a wasteful number, since it uses less digits than its factorization.

10120111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91081162.

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

It can be divided in two parts, 1012011 and 1102101, that multiplied together give a palindrome (1115338335111).

The spelling of 10120111102101 in words is "ten trillion, one hundred twenty billion, one hundred eleven million, one hundred two thousand, one hundred one".