101000221222110 has 256 divisors, whose sum is σ = 283044160014336. Its totient is φ = 22588704000000.

The previous prime is 101000221222093. The next prime is 101000221222141. The reversal of 101000221222110 is 11222122000101.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000221222110.

It is a congruent number.

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, 2639750380 + ... + 2639788640.

It is an arithmetic number, because the mean of its divisors is an integer number (1105641250056).

Almost surely, 2^{101000221222110} is an apocalyptic number.

101000221222110 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 101000221222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141522080007168).

101000221222110 is an abundant number, since it is smaller than the sum of its proper divisors (182043938792226).

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

101000221222110 is a wasteful number, since it uses less digits than its factorization.

101000221222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39411.

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

Adding to 101000221222110 its reverse (11222122000101), we get a palindrome (112222343222211).

The spelling of 101000221222110 in words is "one hundred one trillion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred ten".