101022133030 has 128 divisors (see below), whose sum is σ = 235909739520. Its totient is φ = 30246981120.

The previous prime is 101022132997. The next prime is 101022133067. The reversal of 101022133030 is 30331220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022132995 and 101022133013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13776465 + ... + 13783795.

It is an arithmetic number, because the mean of its divisors is an integer number (1843044840).

Almost surely, 2^101022133030 is an apocalyptic number.

101022133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022133030 is an abundant number, since it is smaller than the sum of its proper divisors (134887606490).

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

101022133030 is a wasteful number, since it uses less digits than its factorization.

101022133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101022133030 its reverse (30331220101), we get a palindrome (131353353131).

The spelling of 101022133030 in words is "one hundred one billion, twenty-two million, one hundred thirty-three thousand, thirty".