10212201101100 has 72 divisors (see below), whose sum is σ = 29670930938880. Its totient is φ = 2711859241280.

The previous prime is 10212201101083. The next prime is 10212201101107. The reversal of 10212201101100 is 110110221201.

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

It is not an unprimeable number, because it can be changed into a prime (10212201101107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71143092 + ... + 71286491.

It is an arithmetic number, because the mean of its divisors is an integer number (412096263040).

Almost surely, 2^{10212201101100} is an apocalyptic number.

10212201101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212201101100 is an abundant number, since it is smaller than the sum of its proper divisors (19458729837780).

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

10212201101100 is a wasteful number, since it uses less digits than its factorization.

10212201101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142429839 (or 142429832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212201101100 its reverse (110110221201), we get a palindrome (10322311322301).

The spelling of 10212201101100 in words is "ten trillion, two hundred twelve billion, two hundred one million, one hundred one thousand, one hundred".