102102022211010 has 256 divisors, whose sum is σ = 269042031525888. Its totient is φ = 24686819942400.

The previous prime is 102102022211003. The next prime is 102102022211039. The reversal of 102102022211010 is 10112220201201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4829106499 + ... + 4829127641.

It is an arithmetic number, because the mean of its divisors is an integer number (1050945435648).

Almost surely, 2^{102102022211010} is an apocalyptic number.

102102022211010 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 102102022211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134521015762944).

102102022211010 is an abundant number, since it is smaller than the sum of its proper divisors (166940009314878).

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

102102022211010 is a wasteful number, since it uses less digits than its factorization.

102102022211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22569.

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

Adding to 102102022211010 its reverse (10112220201201), we get a palindrome (112214242412211).

The spelling of 102102022211010 in words is "one hundred two trillion, one hundred two billion, twenty-two million, two hundred eleven thousand, ten".