102101410020132 has 18 divisors (see below), whose sum is σ = 258089675328758. Its totient is φ = 34033803340032.

The previous prime is 102101410020121. The next prime is 102101410020133. The reversal of 102101410020132 is 231020014101201.

102101410020132 is a `hidden beast` number, since 1 + 0 + 2 + 101 + 410 + 0 + 20 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72179569172736 + 29921840847396 = 8495856^2 + 5470086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×102101410020132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102101410020133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418075139133 + ... + 1418075139204.

Almost surely, 2^{102101410020132} is an apocalyptic number.

102101410020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101410020132 is an abundant number, since it is smaller than the sum of its proper divisors (155988265308626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101410020132 is a wasteful number, since it uses less digits than its factorization.

102101410020132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836150278347 (or 2836150278342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102101410020132 its reverse (231020014101201), we get a palindrome (333121424121333).

The spelling of 102101410020132 in words is "one hundred two trillion, one hundred one billion, four hundred ten million, twenty thousand, one hundred thirty-two".