101122213322130 has 512 divisors, whose sum is σ = 334734942044160. Its totient is φ = 18867671470080.

The previous prime is 101122213322111. The next prime is 101122213322159. The reversal of 101122213322130 is 31223312221101.

It is a super-2 number, since 2×101122213322130² (a number of 29 digits) contains 22 as substring.

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 101122213322130.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7587763527 + ... + 7587776853.

It is an arithmetic number, because the mean of its divisors is an integer number (653779183680).

Almost surely, 2^{101122213322130} is an apocalyptic number.

101122213322130 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 101122213322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167367471022080).

101122213322130 is an abundant number, since it is smaller than the sum of its proper divisors (233612728722030).

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

101122213322130 is a wasteful number, since it uses less digits than its factorization.

101122213322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20234.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101122213322130 its reverse (31223312221101), we get a palindrome (132345525543231).

The spelling of 101122213322130 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred thirty".