102142104100 has 36 divisors (see below), whose sum is σ = 222796845124. Its totient is φ = 40645140480.

The previous prime is 102142104049. The next prime is 102142104137. The reversal of 102142104100 is 1401241201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13276109284 + 88865994816 = 115222^2 + 298104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2626869 + ... + 2665468.

Almost surely, 2^102142104100 is an apocalyptic number.

102142104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102142104100 is an abundant number, since it is smaller than the sum of its proper divisors (120654741024).

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

102142104100 is a wasteful number, since it uses less digits than its factorization.

102142104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292544 (or 5292537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102142104100 its reverse (1401241201), we get a palindrome (103543345301).

The spelling of 102142104100 in words is "one hundred two billion, one hundred forty-two million, one hundred four thousand, one hundred".