101110010101002 has 120 divisors (see below), whose sum is σ = 264600930908160. Its totient is φ = 28773479826000.

The previous prime is 101110010100977. The next prime is 101110010101027. The reversal of 101110010101002 is 200101010011101.

It is an interprime number because it is at equal distance from previous prime (101110010100977) and next prime (101110010101027).

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 59 ways as a sum of consecutive naturals, for example, 23381002 + ... + 27365877.

It is an arithmetic number, because the mean of its divisors is an integer number (2205007757568).

Almost surely, 2^{101110010101002} is an apocalyptic number.

101110010101002 is an abundant number, since it is smaller than the sum of its proper divisors (163490920807158).

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

101110010101002 is a wasteful number, since it uses less digits than its factorization.

101110010101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50747158 (or 50747142 counting only the distinct ones).

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

Adding to 101110010101002 its reverse (200101010011101), we get a palindrome (301211020112103).

The spelling of 101110010101002 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred one thousand, two".