100201110222000 has 160 divisors (see below), whose sum is σ = 323268019236864. Its totient is φ = 26702128992000.

The previous prime is 100201110221987. The next prime is 100201110222043. The reversal of 100201110222000 is 222011102001.

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 31 ways as a sum of consecutive naturals, for example, 3149527 + ... + 14502473.

Almost surely, 2^{100201110222000} is an apocalyptic number.

100201110222000 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 100201110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161634009618432).

100201110222000 is an abundant number, since it is smaller than the sum of its proper divisors (223066909014864).

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

100201110222000 is a wasteful number, since it uses less digits than its factorization.

100201110222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354444 (or 11354428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201110222000 its reverse (222011102001), we get a palindrome (100423121324001).

The spelling of 100201110222000 in words is "one hundred trillion, two hundred one billion, one hundred ten million, two hundred twenty-two thousand".