102021121202000 has 1440 divisors, whose sum is σ = 347607033725952. Its totient is φ = 28668245760000.

The previous prime is 102021121201963. The next prime is 102021121202003. The reversal of 102021121202000 is 202121120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021121202003) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6628614305 + ... + 6628629695.

Almost surely, 2^{102021121202000} is an apocalyptic number.

102021121202000 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 102021121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173803516862976).

102021121202000 is an abundant number, since it is smaller than the sum of its proper divisors (245585912523952).

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

102021121202000 is a wasteful number, since it uses less digits than its factorization.

102021121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102021121202000 its reverse (202121120201), we get a palindrome (102223242322201).

The spelling of 102021121202000 in words is "one hundred two trillion, twenty-one billion, one hundred twenty-one million, two hundred two thousand".