10102211220010 has 256 divisors, whose sum is σ = 23092127170560. Its totient is φ = 3096681891840.

The previous prime is 10102211219999. The next prime is 10102211220043. The reversal of 10102211220010 is 1002211220101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7099234159 + ... + 7099235581.

It is an arithmetic number, because the mean of its divisors is an integer number (90203621760).

Almost surely, 2^{10102211220010} is an apocalyptic number.

10102211220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102211220010 is an abundant number, since it is smaller than the sum of its proper divisors (12989915950550).

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

10102211220010 is a wasteful number, since it uses less digits than its factorization.

10102211220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102211220010 its reverse (1002211220101), we get a palindrome (11104422440111).

Subtracting from 10102211220010 its reverse (1002211220101), we obtain a palindrome (9099999999909).

The spelling of 10102211220010 in words is "ten trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, ten".