101121222210210 has 128 divisors (see below), whose sum is σ = 275966264597760. Its totient is φ = 26334867460608.

The previous prime is 101121222210193. The next prime is 101121222210293. The reversal of 101121222210210 is 12012222121101.

101121222210210 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 21 + 222 + 210 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82905292 + ... + 84116168.

It is an arithmetic number, because the mean of its divisors is an integer number (2155986442170).

Almost surely, 2^{101121222210210} is an apocalyptic number.

101121222210210 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 101121222210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137983132298880).

101121222210210 is an abundant number, since it is smaller than the sum of its proper divisors (174845042387550).

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

101121222210210 is a wasteful number, since it uses less digits than its factorization.

101121222210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218129 (or 1218123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101121222210210 its reverse (12012222121101), we get a palindrome (113133444331311).

The spelling of 101121222210210 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, two hundred ten".