101224551151213 has 128 divisors (see below), whose sum is σ = 127031224320000. Its totient is φ = 78736585973760.

The previous prime is 101224551151201. The next prime is 101224551151253. The reversal of 101224551151213 is 312151155422101.

It is a cyclic number.

It is not a de Polignac number, because 101224551151213 - 2¹³ = 101224551143021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224551151253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82767416520 + ... + 82767417742.

It is an arithmetic number, because the mean of its divisors is an integer number (992431440000).

Almost surely, 2^{101224551151213} is an apocalyptic number.

It is an amenable number.

101224551151213 is a deficient number, since it is larger than the sum of its proper divisors (25806673168787).

101224551151213 is a wasteful number, since it uses less digits than its factorization.

101224551151213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435.

The product of its (nonzero) digits is 12000, while the sum is 34.

The spelling of 101224551151213 in words is "one hundred one trillion, two hundred twenty-four billion, five hundred fifty-one million, one hundred fifty-one thousand, two hundred thirteen".