101122101122010 has 192 divisors, whose sum is σ = 259048954773504. Its totient is φ = 25257661056000.

The previous prime is 101122101121973. The next prime is 101122101122041. The reversal of 101122101122010 is 10221101221101.

It is a happy number.

It is a super-2 number, since 2×101122101122010² (a number of 29 digits) contains 22 as substring.

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

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, 7832237455 + ... + 7832250365.

It is an arithmetic number, because the mean of its divisors is an integer number (1349213306112).

Almost surely, 2^{101122101122010} is an apocalyptic number.

101122101122010 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 101122101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129524477386752).

101122101122010 is an abundant number, since it is smaller than the sum of its proper divisors (157926853651494).

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

101122101122010 is a wasteful number, since it uses less digits than its factorization.

101122101122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122101122010 its reverse (10221101221101), we get a palindrome (111343202343111).

Subtracting from 101122101122010 its reverse (10221101221101), we obtain a palindrome (90900999900909).

The spelling of 101122101122010 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, ten".