10212527700107 has 32 divisors (see below), whose sum is σ = 10625935968000. Its totient is φ = 9810346291200.

The previous prime is 10212527700103. The next prime is 10212527700121. The reversal of 10212527700107 is 70100772521201.

It is a cyclic number.

It is not a de Polignac number, because 10212527700107 - 2² = 10212527700103 is a prime.

It is a super-2 number, since 2×10212527700107² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212527700103) 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, 185489519 + ... + 185544567.

It is an arithmetic number, because the mean of its divisors is an integer number (332060499000).

Almost surely, 2^{10212527700107} is an apocalyptic number.

10212527700107 is a deficient number, since it is larger than the sum of its proper divisors (413408267893).

10212527700107 is a wasteful number, since it uses less digits than its factorization.

10212527700107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55607.

The product of its (nonzero) digits is 13720, while the sum is 35.

The spelling of 10212527700107 in words is "ten trillion, two hundred twelve billion, five hundred twenty-seven million, seven hundred thousand, one hundred seven".