100120211201131 has 8 divisors (see below), whose sum is σ = 109234866670128. Its totient is φ = 91007692080000.

The previous prime is 100120211201123. The next prime is 100120211201209. The reversal of 100120211201131 is 131102112021001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120211201131 - 2³ = 100120211201123 is a prime.

It is a super-2 number, since 2×100120211201131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120211202131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533988970 + ... + 534176431.

It is an arithmetic number, because the mean of its divisors is an integer number (13654358333766).

Almost surely, 2^{100120211201131} is an apocalyptic number.

100120211201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100120211201131 is a deficient number, since it is larger than the sum of its proper divisors (9114655468997).

100120211201131 is a wasteful number, since it uses less digits than its factorization.

100120211201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068173933.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100120211201131 its reverse (131102112021001), we get a palindrome (231222323222132).

The spelling of 100120211201131 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, two hundred one thousand, one hundred thirty-one".