100102021200 has 360 divisors, whose sum is σ = 353204794488. Its totient is φ = 26250117120.

The previous prime is 100102021171. The next prime is 100102021211. The reversal of 100102021200 is 2120201001.

It can be written as a sum of positive squares in 12 ways, for example, as 16124936256 + 83977084944 = 126984^2 + 289788^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×100102021200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60410772 + ... + 60412428.

Almost surely, 2^100102021200 is an apocalyptic number.

100102021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176602397244).

100102021200 is an abundant number, since it is smaller than the sum of its proper divisors (253102773288).

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

100102021200 is a wasteful number, since it uses less digits than its factorization.

100102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102021200 its reverse (2120201001), we get a palindrome (102222222201).

The spelling of 100102021200 in words is "one hundred billion, one hundred two million, twenty-one thousand, two hundred".