102210100002010 has 64 divisors (see below), whose sum is σ = 247019654294784. Its totient is φ = 29407101696000.

The previous prime is 102210100001963. The next prime is 102210100002029. The reversal of 102210100002010 is 10200001012201.

It is a super-3 number, since 3×102210100002010³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5105389591 + ... + 5105409610.

It is an arithmetic number, because the mean of its divisors is an integer number (3859682098356).

Almost surely, 2^{102210100002010} is an apocalyptic number.

102210100002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210100002010 is an abundant number, since it is smaller than the sum of its proper divisors (144809554292774).

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

102210100002010 is a wasteful number, since it uses less digits than its factorization.

102210100002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210799239.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102210100002010 its reverse (10200001012201), we get a palindrome (112410101014211).

The spelling of 102210100002010 in words is "one hundred two trillion, two hundred ten billion, one hundred million, two thousand, ten".