101100101022 has 64 divisors (see below), whose sum is σ = 238323470400. Its totient is φ = 31658895360.

The previous prime is 101100101021. The next prime is 101100101033. The reversal of 101100101022 is 220101001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100100995 and 101100101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394854 + ... + 598422.

It is an arithmetic number, because the mean of its divisors is an integer number (3723804225).

Almost surely, 2^101100101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119161735200).

101100101022 is an abundant number, since it is smaller than the sum of its proper divisors (137223369378).

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

101100101022 is a wasteful number, since it uses less digits than its factorization.

101100101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204138 (or 204132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100101022 its reverse (220101001101), we get a palindrome (321201102123).

The spelling of 101100101022 in words is "one hundred one billion, one hundred million, one hundred one thousand, twenty-two".