101100222090 has 640 divisors, whose sum is σ = 336012779520. Its totient is φ = 21315571200.

The previous prime is 101100222071. The next prime is 101100222131. The reversal of 101100222090 is 90222001101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 564805621 + ... + 564805799.

It is an arithmetic number, because the mean of its divisors is an integer number (525019968).

Almost surely, 2^101100222090 is an apocalyptic number.

101100222090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100222090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168006389760).

101100222090 is an abundant number, since it is smaller than the sum of its proper divisors (234912557430).

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

101100222090 is a wasteful number, since it uses less digits than its factorization.

101100222090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101100222090 its reverse (90222001101), we get a palindrome (191322223191).

The spelling of 101100222090 in words is "one hundred one billion, one hundred million, two hundred twenty-two thousand, ninety".