101220110102000 has 160 divisors (see below), whose sum is σ = 254341024704000. Its totient is φ = 38919008256000.

The previous prime is 101220110101997. The next prime is 101220110102029. The reversal of 101220110102000 is 201011022101.

It is a super-2 number, since 2×101220110102000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759536 + ... + 14716464.

It is an arithmetic number, because the mean of its divisors is an integer number (1589631404400).

Almost surely, 2^{101220110102000} is an apocalyptic number.

101220110102000 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 101220110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127170512352000).

101220110102000 is an abundant number, since it is smaller than the sum of its proper divisors (153120914602000).

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

101220110102000 is a wasteful number, since it uses less digits than its factorization.

101220110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957132 (or 10957116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220110102000 its reverse (201011022101), we get a palindrome (101421121124101).

The spelling of 101220110102000 in words is "one hundred one trillion, two hundred twenty billion, one hundred ten million, one hundred two thousand".