100110101004 has 72 divisors (see below), whose sum is σ = 257575351488. Its totient is φ = 32776967520.

The previous prime is 100110100997. The next prime is 100110101011. The reversal of 100110101004 is 400101011001.

It is an interprime number because it is at equal distance from previous prime (100110100997) and next prime (100110101011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777159 + ... + 896769.

Almost surely, 2^100110101004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128787675744).

100110101004 is an abundant number, since it is smaller than the sum of its proper divisors (157465250484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110101004 is a wasteful number, since it uses less digits than its factorization.

100110101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120035 (or 120030 counting only the distinct ones).

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

Adding to 100110101004 its reverse (400101011001), we get a palindrome (500211112005).

The spelling of 100110101004 in words is "one hundred billion, one hundred ten million, one hundred one thousand, four".