101213010090 has 96 divisors (see below), whose sum is σ = 264686544720. Its totient is φ = 26833287168.

The previous prime is 101213010071. The next prime is 101213010091. The reversal of 101213010090 is 90010312101.

It can be written as a sum of positive squares in 8 ways, for example, as 40907894049 + 60305116041 = 202257^2 + 245571^2 .

It is a super-2 number, since 2×101213010090² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101213010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15928354 + ... + 15934706.

Almost surely, 2^101213010090 is an apocalyptic number.

101213010090 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 101213010090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132343272360).

101213010090 is an abundant number, since it is smaller than the sum of its proper divisors (163473534630).

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

101213010090 is a wasteful number, since it uses less digits than its factorization.

101213010090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101213010090 its reverse (90010312101), we get a palindrome (191223322191).

The spelling of 101213010090 in words is "one hundred one billion, two hundred thirteen million, ten thousand, ninety".