102133013022020 has 24 divisors (see below), whose sum is σ = 214535459233368. Its totient is φ = 40842513420800.

The previous prime is 102133013022011. The next prime is 102133013022031. The reversal of 102133013022020 is 20220310331201.

It can be written as a sum of positive squares in 4 ways, for example, as 14404013648644 + 87728999373376 = 3795262^2 + 9366376^2 .

It is a super-2 number, since 2×102133013022020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102133013021983 and 102133013022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668158421 + ... + 668311260.

It is an arithmetic number, because the mean of its divisors is an integer number (8938977468057).

Almost surely, 2^{102133013022020} is an apocalyptic number.

102133013022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133013022020 is an abundant number, since it is smaller than the sum of its proper divisors (112402446211348).

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

102133013022020 is a wasteful number, since it uses less digits than its factorization.

102133013022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336473511 (or 1336473509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102133013022020 its reverse (20220310331201), we get a palindrome (122353323353221).

The spelling of 102133013022020 in words is "one hundred two trillion, one hundred thirty-three billion, thirteen million, twenty-two thousand, twenty".