100102111101 has 36 divisors (see below), whose sum is σ = 146276387712. Its totient is φ = 65964941472.

The previous prime is 100102111093. The next prime is 100102111121. The reversal of 100102111101 is 101111201001.

It is not a de Polignac number, because 100102111101 - 2³ = 100102111093 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 (100102111121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45355540 + ... + 45357746.

It is an arithmetic number, because the mean of its divisors is an integer number (4063232992).

Almost surely, 2^100102111101 is an apocalyptic number.

It is an amenable number.

100102111101 is a deficient number, since it is larger than the sum of its proper divisors (46174276611).

100102111101 is a wasteful number, since it uses less digits than its factorization.

100102111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100102111101 its reverse (101111201001), we get a palindrome (201213312102).

It can be divided in two parts, 100 and 102111101, that added together give a palindrome (102111201).

The spelling of 100102111101 in words is "one hundred billion, one hundred two million, one hundred eleven thousand, one hundred one".