102012102101 has 32 divisors (see below), whose sum is σ = 135238483968. Its totient is φ = 74713129920.

The previous prime is 102012102053. The next prime is 102012102109. The reversal of 102012102101 is 101201210201.

It is not a de Polignac number, because 102012102101 - 2¹⁰ = 102012101077 is a prime.

It is a super-2 number, since 2×102012102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012102109) 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, 721241 + ... + 851006.

It is an arithmetic number, because the mean of its divisors is an integer number (4226202624).

Almost surely, 2^102012102101 is an apocalyptic number.

It is an amenable number.

102012102101 is a deficient number, since it is larger than the sum of its proper divisors (33226381867).

102012102101 is a wasteful number, since it uses less digits than its factorization.

102012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572321.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102012102101 its reverse (101201210201), we get a palindrome (203213312302).

The spelling of 102012102101 in words is "one hundred two billion, twelve million, one hundred two thousand, one hundred one".