101111002000100 has 144 divisors (see below), whose sum is σ = 221067140130816. Its totient is φ = 40140420480000.

The previous prime is 101111002000097. The next prime is 101111002000103. The reversal of 101111002000100 is 1000200111101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101111002000097) and next prime (101111002000103).

It is not an unprimeable number, because it can be changed into a prime (101111002000103) 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, 10000094045 + ... + 10000104155.

Almost surely, 2^{101111002000100} is an apocalyptic number.

101111002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111002000100 is an abundant number, since it is smaller than the sum of its proper divisors (119956138130716).

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

101111002000100 is a wasteful number, since it uses less digits than its factorization.

101111002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101111002000100 its reverse (1000200111101), we get a palindrome (102111202111201).

The spelling of 101111002000100 in words is "one hundred one trillion, one hundred eleven billion, two million, one hundred", and thus it is an aban number.