12211201012100 has 18 divisors (see below), whose sum is σ = 26498306196474. Its totient is φ = 4884480404800.

The previous prime is 12211201012091. The next prime is 12211201012273. The reversal of 12211201012100 is 121010211221.

It can be written as a sum of positive squares in 3 ways, for example, as 54040441156 + 12157160570944 = 232466^2 + 3486712^2 .

It is a super-2 number, since 2×12211201012100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61056004961 + ... + 61056005160.

Almost surely, 2^{12211201012100} is an apocalyptic number.

12211201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211201012100 is an abundant number, since it is smaller than the sum of its proper divisors (14287105184374).

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

12211201012100 is a wasteful number, since it uses less digits than its factorization.

12211201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122112010135 (or 122112010128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211201012100 its reverse (121010211221), we get a palindrome (12332211223321).

The spelling of 12211201012100 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twelve thousand, one hundred".