120211111202100 has 72 divisors (see below), whose sum is σ = 347812657606848. Its totient is φ = 32056126502400.

The previous prime is 120211111202071. The next prime is 120211111202129. The reversal of 120211111202100 is 1202111112021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120211111202071) and next prime (120211111202129).

It is a super-2 number, since 2×120211111202100² (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 a self number, because there is not a number n which added to its sum of digits gives 120211111202100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61872652 + ... + 63785948.

Almost surely, 2^{120211111202100} is an apocalyptic number.

120211111202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211111202100 is an abundant number, since it is smaller than the sum of its proper divisors (227601546404748).

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

120211111202100 is a wasteful number, since it uses less digits than its factorization.

120211111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122745 (or 2122738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120211111202100 its reverse (1202111112021), we get a palindrome (121413222314121).

120211111202100 divided by its reverse (1202111112021) gives a square (100 = 10²).

The spelling of 120211111202100 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred eleven million, two hundred two thousand, one hundred".