10201101000012 has 48 divisors (see below), whose sum is σ = 28481706499680. Its totient is φ = 3138800307264.

The previous prime is 10201101000001. The next prime is 10201101000047. The reversal of 10201101000012 is 21000010110201.

It is a happy number.

It is a super-2 number, since 2×10201101000012² (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 = 10201100999958 and 10201101000003.

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, 3632869323 + ... + 3632872130.

It is an arithmetic number, because the mean of its divisors is an integer number (593368885410).

Almost surely, 2^{10201101000012} is an apocalyptic number.

10201101000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201101000012 is an abundant number, since it is smaller than the sum of its proper divisors (18280605499668).

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

10201101000012 is a wasteful number, since it uses less digits than its factorization.

10201101000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265741479 (or 7265741471 counting only the distinct ones).

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

Adding to 10201101000012 its reverse (21000010110201), we get a palindrome (31201111110213).

The spelling of 10201101000012 in words is "ten trillion, two hundred one billion, one hundred one million, twelve", and thus it is an aban number.