100102120101 has 12 divisors (see below), whose sum is σ = 144674175360. Its totient is φ = 66696797160.

The previous prime is 100102120099. The next prime is 100102120171. The reversal of 100102120101 is 101021201001.

It is a happy number.

It is not a de Polignac number, because 100102120101 - 2¹ = 100102120099 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 (100102120171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3145755 + ... + 3177416.

It is an arithmetic number, because the mean of its divisors is an integer number (12056181280).

Almost surely, 2^100102120101 is an apocalyptic number.

It is an amenable number.

100102120101 is a deficient number, since it is larger than the sum of its proper divisors (44572055259).

100102120101 is a wasteful number, since it uses less digits than its factorization.

100102120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324936 (or 6324933 counting only the distinct ones).

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

Adding to 100102120101 its reverse (101021201001), we get a palindrome (201123321102).

The spelling of 100102120101 in words is "one hundred billion, one hundred two million, one hundred twenty thousand, one hundred one".