101111211201120 has 192 divisors, whose sum is σ = 333396583511040. Its totient is φ = 25709326235648.

The previous prime is 101111211201109. The next prime is 101111211201137. The reversal of 101111211201120 is 21102112111101.

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 101111211201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10946100 + ... + 17945459.

It is an arithmetic number, because the mean of its divisors is an integer number (1736440539120).

Almost surely, 2^{101111211201120} is an apocalyptic number.

101111211201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111211201120 is an abundant number, since it is smaller than the sum of its proper divisors (232285372309920).

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

101111211201120 is a wasteful number, since it uses less digits than its factorization.

101111211201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28891917 (or 28891909 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101111211201120 its reverse (21102112111101), we get a palindrome (122213323312221).

The spelling of 101111211201120 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred one thousand, one hundred twenty".