100120021021010 has 8 divisors (see below), whose sum is σ = 180216037837836. Its totient is φ = 40048008408400.

The previous prime is 100120021020989. The next prime is 100120021021019. The reversal of 100120021021010 is 10120120021001.

It can be written as a sum of positive squares in 2 ways, for example, as 95832880988329 + 4287140032681 = 9789427^2 + 2070541^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×100120021021010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120021020982 and 100120021021000.

It is not an unprimeable number, because it can be changed into a prime (100120021021019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5006001051041 + ... + 5006001051060.

Almost surely, 2^{100120021021010} is an apocalyptic number.

100120021021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120021021010 is a deficient number, since it is larger than the sum of its proper divisors (80096016816826).

100120021021010 is a wasteful number, since it uses less digits than its factorization.

100120021021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012002102108.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120021021010 its reverse (10120120021001), we get a palindrome (110240141042011).

The spelling of 100120021021010 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, twenty-one thousand, ten".