102021002220100 has 54 divisors (see below), whose sum is σ = 231429532963370. Its totient is φ = 39034122568320.

The previous prime is 102021002220037. The next prime is 102021002220139. The reversal of 102021002220100 is 1022200120201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2799919503616 + 99221082716484 = 1673296^2 + 9960978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 964228785 + ... + 964334584.

Almost surely, 2^{102021002220100} is an apocalyptic number.

102021002220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021002220100 is an abundant number, since it is smaller than the sum of its proper divisors (129408530743270).

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

102021002220100 is a wasteful number, since it uses less digits than its factorization.

102021002220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928563429 (or 1928563399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102021002220100 its reverse (1022200120201), we get a palindrome (103043202340301).

The spelling of 102021002220100 in words is "one hundred two trillion, twenty-one billion, two million, two hundred twenty thousand, one hundred".