102210212021000 has 384 divisors, whose sum is σ = 257558835062880. Its totient is φ = 37833707520000.

The previous prime is 102210212020991. The next prime is 102210212021041. The reversal of 102210212021000 is 120212012201.

It can be written as a sum of positive squares in 16 ways, for example, as 21586226625604 + 80623985395396 = 4646098^2 + 8979086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36078435584 + ... + 36078438416.

Almost surely, 2^{102210212021000} is an apocalyptic number.

102210212021000 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 102210212021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128779417531440).

102210212021000 is an abundant number, since it is smaller than the sum of its proper divisors (155348623041880).

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

102210212021000 is a wasteful number, since it uses less digits than its factorization.

102210212021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3349 counting only the distinct ones).

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

Adding to 102210212021000 its reverse (120212012201), we get a palindrome (102330424033201).

The spelling of 102210212021000 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, twenty-one thousand".