100102112201 has 48 divisors (see below), whose sum is σ = 126864226944. Its totient is φ = 78281634816.

The previous prime is 100102112189. The next prime is 100102112207. The reversal of 100102112201 is 102211201001.

It is not a de Polignac number, because 100102112201 - 2²² = 100097917897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102112207) 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, 44155070 + ... + 44157336.

It is an arithmetic number, because the mean of its divisors is an integer number (2643004728).

Almost surely, 2^100102112201 is an apocalyptic number.

It is an amenable number.

100102112201 is a deficient number, since it is larger than the sum of its proper divisors (26762114743).

100102112201 is a wasteful number, since it uses less digits than its factorization.

100102112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102112201 its reverse (102211201001), we get a palindrome (202313313202).

The spelling of 100102112201 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, two hundred one".