102100220021100 has 72 divisors (see below), whose sum is σ = 337611394210048. Its totient is φ = 23337193147200.

The previous prime is 102100220021053. The next prime is 102100220021101. The reversal of 102100220021100 is 1120022001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102100220021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24309574096 + ... + 24309578295.

Almost surely, 2^{102100220021100} is an apocalyptic number.

102100220021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100220021100 is an abundant number, since it is smaller than the sum of its proper divisors (235511174188948).

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

102100220021100 is a wasteful number, since it uses less digits than its factorization.

102100220021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48619152415 (or 48619152408 counting only the distinct ones).

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

Adding to 102100220021100 its reverse (1120022001201), we get a palindrome (103220242022301).

The spelling of 102100220021100 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, twenty-one thousand, one hundred".