101102120020000 has 240 divisors, whose sum is σ = 271363903804224. Its totient is φ = 36760880000000.

The previous prime is 101102120019973. The next prime is 101102120020009. The reversal of 101102120020000 is 20021201101.

101102120020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (101102120020009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3718206405 + ... + 3718233595.

Almost surely, 2^{101102120020000} is an apocalyptic number.

101102120020000 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 101102120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135681951902112).

101102120020000 is an abundant number, since it is smaller than the sum of its proper divisors (170261783784224).

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

101102120020000 is a wasteful number, since it uses less digits than its factorization.

101102120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44133 (or 44110 counting only the distinct ones).

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

Adding to 101102120020000 its reverse (20021201101), we get a palindrome (101122141221101).

The spelling of 101102120020000 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, twenty thousand".