101122113030 has 128 divisors (see below), whose sum is σ = 269261853696. Its totient is φ = 24174796800.

The previous prime is 101122113017. The next prime is 101122113031. The reversal of 101122113030 is 30311221101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122113031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2809045 + ... + 2844815.

It is an arithmetic number, because the mean of its divisors is an integer number (2103608232).

Almost surely, 2^101122113030 is an apocalyptic number.

101122113030 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 101122113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134630926848).

101122113030 is an abundant number, since it is smaller than the sum of its proper divisors (168139740666).

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

101122113030 is a wasteful number, since it uses less digits than its factorization.

101122113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36062.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101122113030 its reverse (30311221101), we get a palindrome (131433334131).

The spelling of 101122113030 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirteen thousand, thirty".