102010022010 has 192 divisors, whose sum is σ = 302707510560. Its totient is φ = 23611392000.

The previous prime is 102010021951. The next prime is 102010022021. The reversal of 102010022010 is 10220010201.

It can be written as a sum of positive squares in 16 ways, for example, as 1577440089 + 100432581921 = 39717^2 + 316911^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102010021983 and 102010022001.

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 95 ways as a sum of consecutive naturals, for example, 33990510 + ... + 33993510.

Almost surely, 2^102010022010 is an apocalyptic number.

102010022010 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 102010022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151353755280).

102010022010 is an abundant number, since it is smaller than the sum of its proper divisors (200697488550).

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

102010022010 is a wasteful number, since it uses less digits than its factorization.

102010022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102010022010 its reverse (10220010201), we get a palindrome (112230032211).

The spelling of 102010022010 in words is "one hundred two billion, ten million, twenty-two thousand, ten".