101020111221120 has 768 divisors, whose sum is σ = 406289371219200. Its totient is φ = 21160758657024.

The previous prime is 101020111221091. The next prime is 101020111221151. The reversal of 101020111221120 is 21122111020101.

It is a happy number.

It is a super-2 number, since 2×101020111221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101020111221120.

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, 169705447 + ... + 170299673.

It is an arithmetic number, because the mean of its divisors is an integer number (529022618775).

Almost surely, 2^{101020111221120} is an apocalyptic number.

101020111221120 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 101020111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203144685609600).

101020111221120 is an abundant number, since it is smaller than the sum of its proper divisors (305269259998080).

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

101020111221120 is a wasteful number, since it uses less digits than its factorization.

101020111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594415 (or 594396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101020111221120 its reverse (21122111020101), we get a palindrome (122142222241221).

The spelling of 101020111221120 in words is "one hundred one trillion, twenty billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".