2101021120101 has 8 divisors (see below), whose sum is σ = 2966147463744. Its totient is φ = 1318287761600.

The previous prime is 2101021120087. The next prime is 2101021120141. The reversal of 2101021120101 is 1010211201012.

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 2101021120101 - 2¹⁴ = 2101021103717 is a prime.

It is a super-2 number, since 2×2101021120101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101021120141) 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, 20598246225 + ... + 20598246326.

It is an arithmetic number, because the mean of its divisors is an integer number (370768432968).

Almost surely, 2^{2101021120101} is an apocalyptic number.

It is an amenable number.

2101021120101 is a deficient number, since it is larger than the sum of its proper divisors (865126343643).

2101021120101 is a wasteful number, since it uses less digits than its factorization.

2101021120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41196492571.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101021120101 its reverse (1010211201012), we get a palindrome (3111232321113).

It can be divided in two parts, 2 and 101021120101, that multiplied together give a palindrome (202042240202).

The spelling of 2101021120101 in words is "two trillion, one hundred one billion, twenty-one million, one hundred twenty thousand, one hundred one".