10022000102101 has 16 divisors (see below), whose sum is σ = 11048776305280. Its totient is φ = 9033956464320.

The previous prime is 10022000102071. The next prime is 10022000102113. The reversal of 10022000102101 is 10120100022001.

10022000102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10022000102101 - 2¹⁷ = 10021999971029 is a prime.

It is a super-2 number, since 2×10022000102101² (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 (10022000102201) 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, 45350505 + ... + 45570958.

It is an arithmetic number, because the mean of its divisors is an integer number (690548519080).

Almost surely, 2^{10022000102101} is an apocalyptic number.

It is an amenable number.

10022000102101 is a deficient number, since it is larger than the sum of its proper divisors (1026776203179).

10022000102101 is a wasteful number, since it uses less digits than its factorization.

10022000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90921676.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022000102101 its reverse (10120100022001), we get a palindrome (20142100124102).

The spelling of 10022000102101 in words is "ten trillion, twenty-two billion, one hundred two thousand, one hundred one".