10122010130011 has 32 divisors (see below), whose sum is σ = 11697327936000. Its totient is φ = 8686965289728.

The previous prime is 10122010129981. The next prime is 10122010130041. The reversal of 10122010130011 is 11003101022101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10122010129981) and next prime (10122010130041).

It is a cyclic number.

It is not a de Polignac number, because 10122010130011 - 2¹¹ = 10122010127963 is a prime.

It is a super-2 number, since 2×10122010130011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122010129973 and 10122010130000.

It is not an unprimeable number, because it can be changed into a prime (10122010130041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653421 + ... + 4793518.

It is an arithmetic number, because the mean of its divisors is an integer number (365541498000).

Almost surely, 2^{10122010130011} is an apocalyptic number.

10122010130011 is a deficient number, since it is larger than the sum of its proper divisors (1575317805989).

10122010130011 is a wasteful number, since it uses less digits than its factorization.

10122010130011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447123.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10122010130011 its reverse (11003101022101), we get a palindrome (21125111152112).

The spelling of 10122010130011 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred thirty thousand, eleven".