10120211202101 has 64 divisors (see below), whose sum is σ = 13774711910400. Its totient is φ = 7179529443840.

The previous prime is 10120211202061. The next prime is 10120211202113.

10120211202101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10120211202101 - 2¹⁴ = 10120211185717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120211202161) 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, 49665041 + ... + 49868393.

It is an arithmetic number, because the mean of its divisors is an integer number (215229873600).

Almost surely, 2^{10120211202101} is an apocalyptic number.

10120211202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120211202101 is a deficient number, since it is larger than the sum of its proper divisors (3654500708299).

10120211202101 is a wasteful number, since it uses less digits than its factorization.

10120211202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204066.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1012021 and 1202101, that added together give a palindrome (2214122).

The spelling of 10120211202101 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred two thousand, one hundred one".