101102011122000 has 1280 divisors, whose sum is σ = 392454241320960. Its totient is φ = 21892425984000.

The previous prime is 101102011121983. The next prime is 101102011122029. The reversal of 101102011122000 is 221110201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 86338181415 + ... + 86338182585.

It is an arithmetic number, because the mean of its divisors is an integer number (306604876032).

Almost surely, 2^{101102011122000} is an apocalyptic number.

101102011122000 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 101102011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196227120660480).

101102011122000 is an abundant number, since it is smaller than the sum of its proper divisors (291352230198960).

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

101102011122000 is a wasteful number, since it uses less digits than its factorization.

101102011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102011122000 its reverse (221110201101), we get a palindrome (101323121323101).

The spelling of 101102011122000 in words is "one hundred one trillion, one hundred two billion, eleven million, one hundred twenty-two thousand".