900110101002021 has 192 divisors, whose sum is σ = 1671575732736000. Its totient is φ = 471321832665600.

The previous prime is 900110101001983. The next prime is 900110101002053. The reversal of 900110101002021 is 120200101011009.

It is a happy number.

900110101002021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900110101002021 - 2¹⁷ = 900110100870949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900110101001985 and 900110101002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900110101022021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5005165521 + ... + 5005345353.

It is an arithmetic number, because the mean of its divisors is an integer number (8706123608000).

Almost surely, 2^{900110101002021} is an apocalyptic number.

900110101002021 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

900110101002021 is a deficient number, since it is larger than the sum of its proper divisors (771465631733979).

900110101002021 is a wasteful number, since it uses less digits than its factorization.

900110101002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181518 (or 181506 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 900110101002021 in words is "nine hundred trillion, one hundred ten billion, one hundred one million, two thousand, twenty-one".