102133213002100 has 36 divisors (see below), whose sum is σ = 253290368246944. Its totient is φ = 35017101600480.

The previous prime is 102133213002083. The next prime is 102133213002109. The reversal of 102133213002100 is 1200312331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133213002109) 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, 72952294302 + ... + 72952295701.

Almost surely, 2^{102133213002100} is an apocalyptic number.

102133213002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133213002100 is an abundant number, since it is smaller than the sum of its proper divisors (151157155244844).

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

102133213002100 is a wasteful number, since it uses less digits than its factorization.

102133213002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145904590024 (or 145904590017 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102133213002100 its reverse (1200312331201), we get a palindrome (103333525333301).

The spelling of 102133213002100 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirteen million, two thousand, one hundred".