101110022020000 has 360 divisors, whose sum is σ = 285220232234784. Its totient is φ = 34552127616000.

The previous prime is 101110022019967. The next prime is 101110022020013. The reversal of 101110022020000 is 20220011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14068456407 + ... + 14068463593.

Almost surely, 2^{101110022020000} is an apocalyptic number.

101110022020000 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 101110022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142610116117392).

101110022020000 is an abundant number, since it is smaller than the sum of its proper divisors (184110210214784).

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

101110022020000 is an frugal number, since it uses more digits than its factorization.

101110022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110022020000 its reverse (20220011101), we get a palindrome (101130242031101).

The spelling of 101110022020000 in words is "one hundred one trillion, one hundred ten billion, twenty-two million, twenty thousand".