101110021320000 has 1120 divisors, whose sum is σ = 420911717935104. Its totient is φ = 20801664000000.

The previous prime is 101110021319863. The next prime is 101110021320053. The reversal of 101110021320000 is 23120011101.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×101110021320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 933185829 + ... + 933294171.

Almost surely, 2^{101110021320000} is an apocalyptic number.

101110021320000 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 101110021320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210455858967552).

101110021320000 is an abundant number, since it is smaller than the sum of its proper divisors (319801696615104).

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

101110021320000 is a wasteful number, since it uses less digits than its factorization.

101110021320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108497 (or 108472 counting only the distinct ones).

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

Adding to 101110021320000 its reverse (23120011101), we get a palindrome (101133141331101).

The spelling of 101110021320000 in words is "one hundred one trillion, one hundred ten billion, twenty-one million, three hundred twenty thousand".