101122002133110 has 192 divisors, whose sum is σ = 310966981079040. Its totient is φ = 22310497509120.

The previous prime is 101122002133081. The next prime is 101122002133189. The reversal of 101122002133110 is 11331200221101.

101122002133110 is a `hidden beast` number, since 1 + 0 + 112 + 200 + 21 + 331 + 1 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 941929 + ... + 14252411.

It is an arithmetic number, because the mean of its divisors is an integer number (1619619693120).

Almost surely, 2^{101122002133110} is an apocalyptic number.

101122002133110 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 101122002133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155483490539520).

101122002133110 is an abundant number, since it is smaller than the sum of its proper divisors (209844978945930).

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

101122002133110 is a wasteful number, since it uses less digits than its factorization.

101122002133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310923 (or 13310920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101122002133110 its reverse (11331200221101), we get a palindrome (112453202354211).

The spelling of 101122002133110 in words is "one hundred one trillion, one hundred twenty-two billion, two million, one hundred thirty-three thousand, one hundred ten".