101111110100010 has 128 divisors (see below), whose sum is σ = 269968277376000. Its totient is φ = 26929117590336.

The previous prime is 101111110100009. The next prime is 101111110100029. The reversal of 101111110100010 is 10001011111101.

It is a super-3 number, since 3×101111110100010³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101111110099965 and 101111110100001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748798281 + ... + 748933299.

It is an arithmetic number, because the mean of its divisors is an integer number (2109127167000).

Almost surely, 2^{101111110100010} is an apocalyptic number.

101111110100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111110100010 is an abundant number, since it is smaller than the sum of its proper divisors (168857167275990).

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

101111110100010 is a wasteful number, since it uses less digits than its factorization.

101111110100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138497 (or 138491 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111110100010 its reverse (10001011111101), we get a palindrome (111112121211111).

The spelling of 101111110100010 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, ten".