102202121211000 has 256 divisors, whose sum is σ = 338129502572160. Its totient is φ = 25612605849600.

The previous prime is 102202121210971. The next prime is 102202121211019. The reversal of 102202121211000 is 112121202201.

It is a super-2 number, since 2×102202121211000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32834172 + ... + 35811828.

Almost surely, 2^{102202121211000} is an apocalyptic number.

102202121211000 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 102202121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169064751286080).

102202121211000 is an abundant number, since it is smaller than the sum of its proper divisors (235927381361160).

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

102202121211000 is a wasteful number, since it uses less digits than its factorization.

102202121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978371 (or 2978357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202121211000 its reverse (112121202201), we get a palindrome (102314242413201).

The spelling of 102202121211000 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, two hundred eleven thousand".