10001101020012 has 72 divisors (see below), whose sum is σ = 25307164238720. Its totient is φ = 3330193305600.

The previous prime is 10001101019971. The next prime is 10001101020067. The reversal of 10001101020012 is 21002010110001.

It is a happy number.

It is a super-2 number, since 2×10001101020012² (a number of 27 digits) contains 22 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 = 10001101019976 and 10001101020003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261522789 + ... + 261561027.

Almost surely, 2^{10001101020012} is an apocalyptic number.

10001101020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101020012 is an abundant number, since it is smaller than the sum of its proper divisors (15306063218708).

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

10001101020012 is a wasteful number, since it uses less digits than its factorization.

10001101020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45703 (or 45698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001101020012 its reverse (21002010110001), we get a palindrome (31003111130013).

The spelling of 10001101020012 in words is "ten trillion, one billion, one hundred one million, twenty thousand, twelve".