101102121221200 has 480 divisors, whose sum is σ = 283419399283200. Its totient is φ = 34272564480000.

The previous prime is 101102121221177. The next prime is 101102121221273. The reversal of 101102121221200 is 2122121201101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1376270071 + ... + 1376343529.

It is an arithmetic number, because the mean of its divisors is an integer number (590457081840).

Almost surely, 2^{101102121221200} is an apocalyptic number.

101102121221200 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 101102121221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141709699641600).

101102121221200 is an abundant number, since it is smaller than the sum of its proper divisors (182317278062000).

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

101102121221200 is a wasteful number, since it uses less digits than its factorization.

101102121221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73771 (or 73760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101102121221200 its reverse (2122121201101), we get a palindrome (103224242422301).

The spelling of 101102121221200 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".