10102121200 has 120 divisors (see below), whose sum is σ = 24965027136. Its totient is φ = 3926016000.

The previous prime is 10102121173. The next prime is 10102121269. The reversal of 10102121200 is 212120101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443264 + ... + 4445536.

Almost surely, 2^10102121200 is an apocalyptic number.

10102121200 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 10102121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482513568).

10102121200 is an abundant number, since it is smaller than the sum of its proper divisors (14862905936).

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

10102121200 is a wasteful number, since it uses less digits than its factorization.

10102121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2592 counting only the distinct ones).

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

Adding to 10102121200 its reverse (212120101), we get a palindrome (10314241301).

It can be divided in two parts, 101021 and 21200, that added together give a palindrome (122221).

The spelling of 10102121200 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, two hundred".