101111202021120 has 576 divisors, whose sum is σ = 333915637614720. Its totient is φ = 26055744159744.

The previous prime is 101111202021079. The next prime is 101111202021233. The reversal of 101111202021120 is 21120202111101.

It is a happy number.

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 101111202021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14088222972 + ... + 14088230148.

Almost surely, 2^{101111202021120} is an apocalyptic number.

101111202021120 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 101111202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166957818807360).

101111202021120 is an abundant number, since it is smaller than the sum of its proper divisors (232804435593600).

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

101111202021120 is a wasteful number, since it uses less digits than its factorization.

101111202021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7886 counting only the distinct ones).

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

Adding to 101111202021120 its reverse (21120202111101), we get a palindrome (122231404132221).

The spelling of 101111202021120 in words is "one hundred one trillion, one hundred eleven billion, two hundred two million, twenty-one thousand, one hundred twenty".