100101100098942 has 96 divisors (see below), whose sum is σ = 220596909012480. Its totient is φ = 32800039534080.

The previous prime is 100101100098907. The next prime is 100101100098943. The reversal of 100101100098942 is 249890001101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101100098897 and 100101100098906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100098943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385347342 + ... + 385607022.

It is an arithmetic number, because the mean of its divisors is an integer number (2297884468880).

Almost surely, 2^{100101100098942} is an apocalyptic number.

100101100098942 is an abundant number, since it is smaller than the sum of its proper divisors (120495808913538).

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

100101100098942 is a wasteful number, since it uses less digits than its factorization.

100101100098942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260958 (or 260955 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Adding to 100101100098942 its reverse (249890001101001), we get a palindrome (349991101199943).

The spelling of 100101100098942 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-eight thousand, nine hundred forty-two".