120211100113 has 16 divisors (see below), whose sum is σ = 134326667776. Its totient is φ = 106828139520.

The previous prime is 120211100089. The next prime is 120211100123. The reversal of 120211100113 is 311001112021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120211100113 - 2²¹ = 120209002961 is a prime.

It is a super-2 number, since 2×120211100113² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120211100093 and 120211100102.

It is not an unprimeable number, because it can be changed into a prime (120211100123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694995 + ... + 850552.

It is an arithmetic number, because the mean of its divisors is an integer number (8395416736).

Almost surely, 2^120211100113 is an apocalyptic number.

120211100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120211100113 is a deficient number, since it is larger than the sum of its proper divisors (14115567663).

120211100113 is a wasteful number, since it uses less digits than its factorization.

120211100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545784.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 120211100113 its reverse (311001112021), we get a palindrome (431212212134).

The spelling of 120211100113 in words is "one hundred twenty billion, two hundred eleven million, one hundred thousand, one hundred thirteen".