100020012100101 has 48 divisors (see below), whose sum is σ = 149600683252800. Its totient is φ = 64345159759104.

The previous prime is 100020012100091. The next prime is 100020012100117. The reversal of 100020012100101 is 101001210020001.

It is a happy number.

It is not a de Polignac number, because 100020012100101 - 2¹⁷ = 100020011969029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020012100901) 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, 20377345 + ... + 24804761.

It is an arithmetic number, because the mean of its divisors is an integer number (3116680901100).

Almost surely, 2^{100020012100101} is an apocalyptic number.

It is an amenable number.

100020012100101 is a deficient number, since it is larger than the sum of its proper divisors (49580671152699).

100020012100101 is a wasteful number, since it uses less digits than its factorization.

100020012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428018 (or 4428015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020012100101 its reverse (101001210020001), we get a palindrome (201021222120102).

The spelling of 100020012100101 in words is "one hundred trillion, twenty billion, twelve million, one hundred thousand, one hundred one".