102122020001331 has 12 divisors (see below), whose sum is σ = 160919546668920. Its totient is φ = 61892133334080.

The previous prime is 102122020001251. The next prime is 102122020001387. The reversal of 102122020001331 is 133100020221201.

102122020001331 is a `hidden beast` number, since 10 + 2 + 122 + 0 + 200 + 0 + 1 + 331 = 666.

102122020001331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102122020001331 - 2⁷ = 102122020001203 is a prime.

It is a super-2 number, since 2×102122020001331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102122020001231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515767777686 + ... + 515767777883.

It is an arithmetic number, because the mean of its divisors is an integer number (13409962222410).

Almost surely, 2^{102122020001331} is an apocalyptic number.

102122020001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102122020001331 is a deficient number, since it is larger than the sum of its proper divisors (58797526667589).

102122020001331 is a wasteful number, since it uses less digits than its factorization.

102122020001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031535555586 (or 1031535555583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102122020001331 its reverse (133100020221201), we get a palindrome (235222040222532).

The spelling of 102122020001331 in words is "one hundred two trillion, one hundred twenty-two billion, twenty million, one thousand, three hundred thirty-one".