101210012101 has 12 divisors (see below), whose sum is σ = 111259921612. Its totient is φ = 91998720000.

The previous prime is 101210012087. The next prime is 101210012119.

101210012101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 50528296225 + 50681715876 = 224785^2 + 225126^2 .

It is not a de Polignac number, because 101210012101 - 2²¹ = 101207914949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210012201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1155781 + ... + 1240261.

Almost surely, 2^101210012101 is an apocalyptic number.

101210012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210012101 is a deficient number, since it is larger than the sum of its proper divisors (10049909511).

101210012101 is an equidigital number, since it uses as much as digits as its factorization.

101210012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94404 (or 94393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1012100 and 12101, that added together give a palindrome (1024201).

The spelling of 101210012101 in words is "one hundred one billion, two hundred ten million, twelve thousand, one hundred one".