102210101220000 has 240 divisors, whose sum is σ = 337024949893632. Its totient is φ = 27113322240000.

The previous prime is 102210101219923. The next prime is 102210101220047. The reversal of 102210101220000 is 22101012201.

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

It is a super-3 number, since 3×102210101220000³ (a number of 43 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 7000572 + ... + 15919428.

Almost surely, 2^{102210101220000} is an apocalyptic number.

102210101220000 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 102210101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168512474946816).

102210101220000 is an abundant number, since it is smaller than the sum of its proper divisors (234814848673632).

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

102210101220000 is an equidigital number, since it uses as much as digits as its factorization.

102210101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919081 (or 8919058 counting only the distinct ones).

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

Adding to 102210101220000 its reverse (22101012201), we get a palindrome (102232202232201).

The spelling of 102210101220000 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, two hundred twenty thousand".