102210010020210 has 128 divisors (see below), whose sum is σ = 262685408486400. Its totient is φ = 25374725349120.

The previous prime is 102210010020199. The next prime is 102210010020221. The reversal of 102210010020210 is 12020010012201.

It is an interprime number because it is at equal distance from previous prime (102210010020199) and next prime (102210010020221).

It is a super-2 number, since 2×102210010020210² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93519805 + ... + 94606415.

It is an arithmetic number, because the mean of its divisors is an integer number (2052229753800).

Almost surely, 2^{102210010020210} is an apocalyptic number.

102210010020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210010020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131342704243200).

102210010020210 is an abundant number, since it is smaller than the sum of its proper divisors (160475398466190).

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

102210010020210 is a wasteful number, since it uses less digits than its factorization.

102210010020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089496.

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

Adding to 102210010020210 its reverse (12020010012201), we get a palindrome (114230020032411).

The spelling of 102210010020210 in words is "one hundred two trillion, two hundred ten billion, ten million, twenty thousand, two hundred ten".