101102021200 has 60 divisors (see below), whose sum is σ = 242944978428. Its totient is φ = 40432921600.

The previous prime is 101102021179. The next prime is 101102021201. The reversal of 101102021200 is 2120201101.

It can be written as a sum of positive squares in 6 ways, for example, as 412577344 + 100689443856 = 20312^2 + 317316^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102021201) 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, 2303460 + ... + 2346940.

Almost surely, 2^101102021200 is an apocalyptic number.

101102021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102021200 is an abundant number, since it is smaller than the sum of its proper divisors (141842957228).

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

101102021200 is a wasteful number, since it uses less digits than its factorization.

101102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49312 (or 49301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102021200 its reverse (2120201101), we get a palindrome (103222222301).

The spelling of 101102021200 in words is "one hundred one billion, one hundred two million, twenty-one thousand, two hundred".