102100102020210 has 256 divisors, whose sum is σ = 299519098057728. Its totient is φ = 21742276608000.

The previous prime is 102100102020199. The next prime is 102100102020211. The reversal of 102100102020210 is 12020201001201.

It is not an unprimeable number, because it can be changed into a prime (102100102020211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1843566720 + ... + 1843622100.

It is an arithmetic number, because the mean of its divisors is an integer number (1169996476788).

Almost surely, 2^{102100102020210} is an apocalyptic number.

102100102020210 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 102100102020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149759549028864).

102100102020210 is an abundant number, since it is smaller than the sum of its proper divisors (197418996037518).

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

102100102020210 is a wasteful number, since it uses less digits than its factorization.

102100102020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60629.

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

Adding to 102100102020210 its reverse (12020201001201), we get a palindrome (114120303021411).

The spelling of 102100102020210 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty thousand, two hundred ten".