102012022101 has 48 divisors (see below), whose sum is σ = 153791447040. Its totient is φ = 59618089440.

The previous prime is 102012022097. The next prime is 102012022109. The reversal of 102012022101 is 101220210201.

It is not a de Polignac number, because 102012022101 - 2² = 102012022097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012022109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8850220 + ... + 8861738.

It is an arithmetic number, because the mean of its divisors is an integer number (3203988480).

Almost surely, 2^102012022101 is an apocalyptic number.

102012022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102012022101 is a deficient number, since it is larger than the sum of its proper divisors (51779424939).

102012022101 is a wasteful number, since it uses less digits than its factorization.

102012022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11734 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012022101 its reverse (101220210201), we get a palindrome (203232232302).

It can be divided in two parts, 10201 and 2022101, that added together give a palindrome (2032302).

The spelling of 102012022101 in words is "one hundred two billion, twelve million, twenty-two thousand, one hundred one".