32200101102000 has 320 divisors, whose sum is σ = 112151514593664. Its totient is φ = 7901168947200.

The previous prime is 32200101101981. The next prime is 32200101102023. The reversal of 32200101102000 is 20110100223.

It is a super-2 number, since 2×32200101102000² (a number of 28 digits) contains 22 as substring.

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

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, 24074862 + ... + 25377138.

Almost surely, 2^{32200101102000} is an apocalyptic number.

32200101102000 is a gapful number since it is divisible by the number (30) 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 32200101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56075757296832).

32200101102000 is an abundant number, since it is smaller than the sum of its proper divisors (79951413491664).

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

32200101102000 is a wasteful number, since it uses less digits than its factorization.

32200101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302633 (or 1302617 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32200101102000 its reverse (20110100223), we get a palindrome (32220211202223).

The spelling of 32200101102000 in words is "thirty-two trillion, two hundred billion, one hundred one million, one hundred two thousand".