102010021221200 has 60 divisors (see below), whose sum is σ = 259495492235580. Its totient is φ = 38403772692480.

The previous prime is 102010021221179. The next prime is 102010021221203. The reversal of 102010021221200 is 2122120010201.

It can be written as a sum of positive squares in 6 ways, for example, as 2800214011456 + 99209807209744 = 1673384^2 + 9960412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010021221203) 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, 7500730055 + ... + 7500743654.

It is an arithmetic number, because the mean of its divisors is an integer number (4324924870593).

Almost surely, 2^{102010021221200} is an apocalyptic number.

102010021221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010021221200 is an abundant number, since it is smaller than the sum of its proper divisors (157485471014380).

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

102010021221200 is a wasteful number, since it uses less digits than its factorization.

102010021221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001473744 (or 15001473733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102010021221200 its reverse (2122120010201), we get a palindrome (104132141231401).

The spelling of 102010021221200 in words is "one hundred two trillion, ten billion, twenty-one million, two hundred twenty-one thousand, two hundred".