100114042201000 has 64 divisors (see below), whose sum is σ = 234347730860880. Its totient is φ = 40031792588800.

The previous prime is 100114042200973. The next prime is 100114042201001. The reversal of 100114042201000 is 102240411001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 219974132196 + 99894068068804 = 469014^2 + 9994702^2 .

It is not an unprimeable number, because it can be changed into a prime (100114042201001) 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, 14381917 + ... + 20175916.

Almost surely, 2^{100114042201000} is an apocalyptic number.

100114042201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100114042201000 is an abundant number, since it is smaller than the sum of its proper divisors (134233688659880).

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

100114042201000 is a wasteful number, since it uses less digits than its factorization.

100114042201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34560751 (or 34560737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100114042201000 its reverse (102240411001), we get a palindrome (100216282612001).

The spelling of 100114042201000 in words is "one hundred trillion, one hundred fourteen billion, forty-two million, two hundred one thousand".