10022012102101 has 16 divisors (see below), whose sum is σ = 10959249853440. Its totient is φ = 9123708522240.

The previous prime is 10022012102087. The next prime is 10022012102117. The reversal of 10022012102101 is 10120121022001.

It is a cyclic number.

It is not a de Polignac number, because 10022012102101 - 2¹⁹ = 10022011577813 is a prime.

It is a super-2 number, since 2×10022012102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012102171) 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, 3617041 + ... + 5755606.

It is an arithmetic number, because the mean of its divisors is an integer number (684953115840).

Almost surely, 2^{10022012102101} is an apocalyptic number.

It is an amenable number.

10022012102101 is a deficient number, since it is larger than the sum of its proper divisors (937237751339).

10022012102101 is a wasteful number, since it uses less digits than its factorization.

10022012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9374724.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022012102101 its reverse (10120121022001), we get a palindrome (20142133124102).

The spelling of 10022012102101 in words is "ten trillion, twenty-two billion, twelve million, one hundred two thousand, one hundred one".