102012020101 has 16 divisors (see below), whose sum is σ = 103680905328. Its totient is φ = 100357056000.

The previous prime is 102012020057. The next prime is 102012020147. The reversal of 102012020101 is 101020210201.

It can be written as a sum of positive squares in 8 ways, for example, as 26593129476 + 75418890625 = 163074^2 + 274625^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012020101 - 2¹⁵ = 102011987333 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 (102012020171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34970095 + ... + 34973011.

It is an arithmetic number, because the mean of its divisors is an integer number (6480056583).

Almost surely, 2^102012020101 is an apocalyptic number.

It is an amenable number.

102012020101 is a deficient number, since it is larger than the sum of its proper divisors (1668885227).

102012020101 is a wasteful number, since it uses less digits than its factorization.

102012020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102012020101 its reverse (101020210201), we get a palindrome (203032230302).

It can be divided in two parts, 10201 and 2020101, that added together give a palindrome (2030302).

The spelling of 102012020101 in words is "one hundred two billion, twelve million, twenty thousand, one hundred one".