101012120102101 has 32 divisors (see below), whose sum is σ = 117061737891840. Its totient is φ = 86441420049600.

The previous prime is 101012120102081. The next prime is 101012120102129. The reversal of 101012120102101 is 101201021210101.

It is a happy number.

It is not a de Polignac number, because 101012120102101 - 2⁷ = 101012120101973 is a prime.

It is a super-2 number, since 2×101012120102101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012120105101) 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, 39071335 + ... + 41576356.

It is an arithmetic number, because the mean of its divisors is an integer number (3658179309120).

Almost surely, 2^{101012120102101} is an apocalyptic number.

It is an amenable number.

101012120102101 is a deficient number, since it is larger than the sum of its proper divisors (16049617789739).

101012120102101 is a wasteful number, since it uses less digits than its factorization.

101012120102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80647857.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012120102101 its reverse (101201021210101), we get a palindrome (202213141312202).

The spelling of 101012120102101 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one hundred two thousand, one hundred one".