101211122122110 has 768 divisors, whose sum is σ = 366198362449920. Its totient is φ = 18715087687680.

The previous prime is 101211122122109. The next prime is 101211122122193. The reversal of 101211122122110 is 11221221112101.

It is a happy number.

101211122122110 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 1 + 221 + 221 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 363193689 + ... + 363472251.

It is an arithmetic number, because the mean of its divisors is an integer number (476820784440).

Almost surely, 2^{101211122122110} is an apocalyptic number.

101211122122110 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 101211122122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183099181224960).

101211122122110 is an abundant number, since it is smaller than the sum of its proper divisors (264987240327810).

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

101211122122110 is a wasteful number, since it uses less digits than its factorization.

101211122122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278753 (or 278750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211122122110 its reverse (11221221112101), we get a palindrome (112432343234211).

The spelling of 101211122122110 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ten".