2120100222001 has 8 divisors (see below), whose sum is σ = 2144957970600. Its totient is φ = 2095265504640.

The previous prime is 2120100221999. The next prime is 2120100222013. The reversal of 2120100222001 is 1002220010212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23164535601 + 2096935686400 = 152199^2 + 1448080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120100222001 - 2¹ = 2120100221999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120100222041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5572590 + ... + 5940871.

It is an arithmetic number, because the mean of its divisors is an integer number (268119746325).

Almost surely, 2^{2120100222001} is an apocalyptic number.

It is an amenable number.

2120100222001 is a deficient number, since it is larger than the sum of its proper divisors (24857748599).

2120100222001 is a wasteful number, since it uses less digits than its factorization.

2120100222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515619.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120100222001 its reverse (1002220010212), we get a palindrome (3122320232213).

The spelling of 2120100222001 in words is "two trillion, one hundred twenty billion, one hundred million, two hundred twenty-two thousand, one".