101102000100010 has 96 divisors (see below), whose sum is σ = 228427359264720. Its totient is φ = 31934252786688.

The previous prime is 101102000099999. The next prime is 101102000100077. The reversal of 101102000100010 is 10001000201101.

It can be written as a sum of positive squares in 8 ways, for example, as 78294412618569 + 22807587481441 = 8848413^2 + 4775729^2 .

It is a super-2 number, since 2×101102000100010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101102000099966 and 101102000100002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12348619 + ... + 18833278.

Almost surely, 2^{101102000100010} is an apocalyptic number.

101102000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102000100010 is an abundant number, since it is smaller than the sum of its proper divisors (127325359164710).

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

101102000100010 is a wasteful number, since it uses less digits than its factorization.

101102000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31182440 (or 31182433 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101102000100010 its reverse (10001000201101), we get a palindrome (111103000301111).

The spelling of 101102000100010 in words is "one hundred one trillion, one hundred two billion, one hundred thousand, ten".