101102000021022 has 1152 divisors, whose sum is σ = 290716166651904. Its totient is φ = 23267879712000.

The previous prime is 101102000020943. The next prime is 101102000021023. The reversal of 101102000021022 is 220120000201101.

It is a super-2 number, since 2×101102000021022² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102000020989 and 101102000021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102000021023) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 529329842947 + ... + 529329843137.

It is an arithmetic number, because the mean of its divisors is an integer number (252357783552).

Almost surely, 2^{101102000021022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102000021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145358083325952).

101102000021022 is an abundant number, since it is smaller than the sum of its proper divisors (189614166630882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102000021022 is a wasteful number, since it uses less digits than its factorization.

101102000021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102000021022 its reverse (220120000201101), we get a palindrome (321222000222123).

The spelling of 101102000021022 in words is "one hundred one trillion, one hundred two billion, twenty-one thousand, twenty-two".