101022000102101 has 8 divisors (see below), whose sum is σ = 108793012818840. Its totient is φ = 93251000189952.

The previous prime is 101022000102061. The next prime is 101022000102103. The reversal of 101022000102101 is 101201000220101.

It can be written as a sum of positive squares in 4 ways, for example, as 4327227879601 + 96694772222500 = 2080199^2 + 9833350^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022000102101 is a prime.

It is a super-2 number, since 2×101022000102101² (a number of 29 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 (101022000102103) 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, 18769961 + ... + 23544753.

It is an arithmetic number, because the mean of its divisors is an integer number (13599126602355).

Almost surely, 2^{101022000102101} is an apocalyptic number.

It is an amenable number.

101022000102101 is a deficient number, since it is larger than the sum of its proper divisors (7771012716739).

101022000102101 is a wasteful number, since it uses less digits than its factorization.

101022000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402295.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022000102101 its reverse (101201000220101), we get a palindrome (202223000322202).

The spelling of 101022000102101 in words is "one hundred one trillion, twenty-two billion, one hundred two thousand, one hundred one".