1020100221520 has 40 divisors (see below), whose sum is σ = 2385935040384. Its totient is φ = 405596729472.

The previous prime is 1020100221473. The next prime is 1020100221521. The reversal of 1020100221520 is 251220010201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1020100221520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020100221494 and 1020100221503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100221521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38164044 + ... + 38190763.

Almost surely, 2^{1020100221520} is an apocalyptic number.

1020100221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100221520 is an abundant number, since it is smaller than the sum of its proper divisors (1365834818864).

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

1020100221520 is a wasteful number, since it uses less digits than its factorization.

1020100221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76354987 (or 76354981 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 1020100221520 its reverse (251220010201), we get a palindrome (1271320231721).

The spelling of 1020100221520 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-one thousand, five hundred twenty".