10211310646140 has 96 divisors (see below), whose sum is σ = 28734559176960. Its totient is φ = 2709424093696.

The previous prime is 10211310646129. The next prime is 10211310646153. The reversal of 10211310646140 is 4164601311201.

It is a super-2 number, since 2×10211310646140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10211310646098 and 10211310646107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19693531 + ... + 20205389.

It is an arithmetic number, because the mean of its divisors is an integer number (299318324760).

Almost surely, 2^{10211310646140} is an apocalyptic number.

10211310646140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211310646140 is an abundant number, since it is smaller than the sum of its proper divisors (18523248530820).

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

10211310646140 is a wasteful number, since it uses less digits than its factorization.

10211310646140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513531 (or 513529 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 10211310646140 its reverse (4164601311201), we get a palindrome (14375911957341).

The spelling of 10211310646140 in words is "ten trillion, two hundred eleven billion, three hundred ten million, six hundred forty-six thousand, one hundred forty".