10100012211097 has 16 divisors (see below), whose sum is σ = 10232014338000. Its totient is φ = 9968953547520.

The previous prime is 10100012211071. The next prime is 10100012211199. The reversal of 10100012211097 is 79011221000101.

It can be written as a sum of positive squares in 8 ways, for example, as 460856330496 + 9639155880601 = 678864^2 + 3104699^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100012211097 - 2²⁷ = 10099877993369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100012221097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34292779 + ... + 34586047.

It is an arithmetic number, because the mean of its divisors is an integer number (639500896125).

Almost surely, 2^{10100012211097} is an apocalyptic number.

It is an amenable number.

10100012211097 is a deficient number, since it is larger than the sum of its proper divisors (132002126903).

10100012211097 is a wasteful number, since it uses less digits than its factorization.

10100012211097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294876.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 10100012211097 its reverse (79011221000101), we get a palindrome (89111233211198).

The spelling of 10100012211097 in words is "ten trillion, one hundred billion, twelve million, two hundred eleven thousand, ninety-seven".