1201112012100 has 288 divisors, whose sum is σ = 4666027355136. Its totient is φ = 230383065600.

The previous prime is 1201112012099. The next prime is 1201112012117. The reversal of 1201112012100 is 12102111021.

It is a super-2 number, since 2×1201112012100² (a number of 25 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 95 ways as a sum of consecutive naturals, for example, 1699554 + ... + 2300153.

It is an arithmetic number, because the mean of its divisors is an integer number (16201483872).

Almost surely, 2^{1201112012100} is an apocalyptic number.

1201112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201112012100 is an abundant number, since it is smaller than the sum of its proper divisors (3464915343036).

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

1201112012100 is a wasteful number, since it uses less digits than its factorization.

1201112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999755 (or 3999748 counting only the distinct ones).

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

Adding to 1201112012100 its reverse (12102111021), we get a palindrome (1213214123121).

The spelling of 1201112012100 in words is "one trillion, two hundred one billion, one hundred twelve million, twelve thousand, one hundred".