100120100101012 has 12 divisors (see below), whose sum is σ = 176944929387156. Its totient is φ = 49564405990400.

The previous prime is 100120100101009. The next prime is 100120100101033. The reversal of 100120100101012 is 210101001021001.

It can be written as a sum of positive squares in 2 ways, for example, as 64622884234896 + 35497215866116 = 8038836^2 + 5957954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100120100101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123911014573 + ... + 123911015380.

It is an arithmetic number, because the mean of its divisors is an integer number (14745410782263).

Almost surely, 2^{100120100101012} is an apocalyptic number.

It is an amenable number.

100120100101012 is a deficient number, since it is larger than the sum of its proper divisors (76824829286144).

100120100101012 is a wasteful number, since it uses less digits than its factorization.

100120100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247822030058 (or 247822030056 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100120100101012 its reverse (210101001021001), we get a palindrome (310221101122013).

The spelling of 100120100101012 in words is "one hundred trillion, one hundred twenty billion, one hundred million, one hundred one thousand, twelve".