102021121200 has 240 divisors, whose sum is σ = 340378142976. Its totient is φ = 26096716800.

The previous prime is 102021121171. The next prime is 102021121247. The reversal of 102021121200 is 2121120201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3136219 + ... + 3168581.

Almost surely, 2^102021121200 is an apocalyptic number.

102021121200 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 102021121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170189071488).

102021121200 is an abundant number, since it is smaller than the sum of its proper divisors (238357021776).

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

102021121200 is a wasteful number, since it uses less digits than its factorization.

102021121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32492 (or 32481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102021121200 its reverse (2121120201), we get a palindrome (104142241401).

Subtracting from 102021121200 its reverse (2121120201), we obtain a palindrome (99900000999).

The spelling of 102021121200 in words is "one hundred two billion, twenty-one million, one hundred twenty-one thousand, two hundred".