101102101021200 has 360 divisors, whose sum is σ = 329672311139520. Its totient is φ = 26482925952000.

The previous prime is 101102101021169. The next prime is 101102101021247. The reversal of 101102101021200 is 2120101201101.

101102101021200 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1954808941 + ... + 1954860659.

It is an arithmetic number, because the mean of its divisors is an integer number (915756419832).

Almost surely, 2^{101102101021200} is an apocalyptic number.

101102101021200 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 101102101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164836155569760).

101102101021200 is an abundant number, since it is smaller than the sum of its proper divisors (228570210118320).

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

101102101021200 is a wasteful number, since it uses less digits than its factorization.

101102101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52095 (or 51957 counting only the distinct ones).

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

Adding to 101102101021200 its reverse (2120101201101), we get a palindrome (103222202222301).

The spelling of 101102101021200 in words is "one hundred one trillion, one hundred two billion, one hundred one million, twenty-one thousand, two hundred".