101012202210101 has 32 divisors (see below), whose sum is σ = 131637606186240. Its totient is φ = 75219437638656.

The previous prime is 101012202210043. The next prime is 101012202210109.

101012202210101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101012202210101 - 2³⁸ = 100737324303157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012202210109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124328150 + ... + 125137976.

It is an arithmetic number, because the mean of its divisors is an integer number (4113675193320).

Almost surely, 2^{101012202210101} is an apocalyptic number.

It is an amenable number.

101012202210101 is a deficient number, since it is larger than the sum of its proper divisors (30625403976139).

101012202210101 is a wasteful number, since it uses less digits than its factorization.

101012202210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890493.

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

It can be divided in two parts, 10101220 and 2210101, that added together give a palindrome (12311321).

The spelling of 101012202210101 in words is "one hundred one trillion, twelve billion, two hundred two million, two hundred ten thousand, one hundred one".