10000101100012 has 48 divisors (see below), whose sum is σ = 18355805798400. Its totient is φ = 4761201631680.

The previous prime is 10000101099917. The next prime is 10000101100061. The reversal of 10000101100012 is 21000110100001.

It is a super-2 number, since 2×10000101100012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000101099968 and 10000101100004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128189 + ... + 4612267.

It is an arithmetic number, because the mean of its divisors is an integer number (382412620800).

Almost surely, 2^{10000101100012} is an apocalyptic number.

It is an amenable number.

10000101100012 is a deficient number, since it is larger than the sum of its proper divisors (8355704698388).

10000101100012 is a wasteful number, since it uses less digits than its factorization.

10000101100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484486 (or 3484484 counting only the distinct ones).

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

Adding to 10000101100012 its reverse (21000110100001), we get a palindrome (31000211200013).

The spelling of 10000101100012 in words is "ten trillion, one hundred one million, one hundred thousand, twelve".