102101200221210 has 64 divisors (see below), whose sum is σ = 252956587613184. Its totient is φ = 26347749120000.

The previous prime is 102101200221203. The next prime is 102101200221211. The reversal of 102101200221210 is 12122002101201.

It is a super-2 number, since 2×102101200221210² (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 self number, because there is not a number n which added to its sum of digits gives 102101200221210.

It is not an unprimeable number, because it can be changed into a prime (102101200221211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24080532 + ... + 28001328.

It is an arithmetic number, because the mean of its divisors is an integer number (3952446681456).

Almost surely, 2^{102101200221210} is an apocalyptic number.

102101200221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101200221210 is an abundant number, since it is smaller than the sum of its proper divisors (150855387391974).

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

102101200221210 is a wasteful number, since it uses less digits than its factorization.

102101200221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948839.

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

Adding to 102101200221210 its reverse (12122002101201), we get a palindrome (114223202322411).

The spelling of 102101200221210 in words is "one hundred two trillion, one hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred ten".