101122101122000 has 640 divisors, whose sum is σ = 292593860222976. Its totient is φ = 33073920000000.

The previous prime is 101122101121973. The next prime is 101122101122041. The reversal of 101122101122000 is 221101221101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10213317050 + ... + 10213326950.

Almost surely, 2^{101122101122000} is an apocalyptic number.

101122101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146296930111488).

101122101122000 is an abundant number, since it is smaller than the sum of its proper divisors (191471759100976).

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

101122101122000 is a wasteful number, since it uses less digits than its factorization.

101122101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10296 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122101122000 its reverse (221101221101), we get a palindrome (101343202343101).

The spelling of 101122101122000 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand".