100102210101 has 16 divisors (see below), whose sum is σ = 148305665920. Its totient is φ = 66732063840.

The previous prime is 100102210099. The next prime is 100102210127. The reversal of 100102210101 is 101012201001.

It is a happy number.

It is not a de Polignac number, because 100102210101 - 2¹ = 100102210099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102210181) 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, 759561 + ... + 881553.

It is an arithmetic number, because the mean of its divisors is an integer number (9269104120).

Almost surely, 2^100102210101 is an apocalyptic number.

It is an amenable number.

100102210101 is a deficient number, since it is larger than the sum of its proper divisors (48203455819).

100102210101 is a wasteful number, since it uses less digits than its factorization.

100102210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152393 (or 152387 counting only the distinct ones).

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

Adding to 100102210101 its reverse (101012201001), we get a palindrome (201114411102).

The spelling of 100102210101 in words is "one hundred billion, one hundred two million, two hundred ten thousand, one hundred one".