201100103322000 has 320 divisors, whose sum is σ = 649787952123648. Its totient is φ = 53507550720000.

The previous prime is 201100103321983. The next prime is 201100103322017. The reversal of 201100103322000 is 223301001102.

It is an interprime number because it is at equal distance from previous prime (201100103321983) and next prime (201100103322017).

It is a super-2 number, since 2×201100103322000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13163578362 + ... + 13163593638.

Almost surely, 2^{201100103322000} is an apocalyptic number.

201100103322000 is a gapful number since it is divisible by the number (20) 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 201100103322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324893976061824).

201100103322000 is an abundant number, since it is smaller than the sum of its proper divisors (448687848801648).

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

201100103322000 is a wasteful number, since it uses less digits than its factorization.

201100103322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201100103322000 its reverse (223301001102), we get a palindrome (201323404323102).

The spelling of 201100103322000 in words is "two hundred one trillion, one hundred billion, one hundred three million, three hundred twenty-two thousand".