10102021200 has 360 divisors, whose sum is σ = 36317151000. Its totient is φ = 2598359040.

The previous prime is 10102021177. The next prime is 10102021207. The reversal of 10102021200 is 212020101.

It can be written as a sum of positive squares in 12 ways, for example, as 1226120256 + 8875900944 = 35016^2 + 94212^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19846546 + ... + 19847054.

It is an arithmetic number, because the mean of its divisors is an integer number (100880975).

Almost surely, 2^10102021200 is an apocalyptic number.

10102021200 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 10102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158575500).

10102021200 is an abundant number, since it is smaller than the sum of its proper divisors (26215129800).

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

10102021200 is a wasteful number, since it uses less digits than its factorization.

10102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

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

Adding to 10102021200 its reverse (212020101), we get a palindrome (10314041301).

The spelling of 10102021200 in words is "ten billion, one hundred two million, twenty-one thousand, two hundred".