10214101024 has 24 divisors (see below), whose sum is σ = 21291895548. Its totient is φ = 4806635520.

The previous prime is 10214101021. The next prime is 10214101031. The reversal of 10214101024 is 42010141201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10187268624 + 26832400 = 100932^2 + 5180^2 .

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 = 10214100989 and 10214101007.

It is not an unprimeable number, because it can be changed into a prime (10214101021) 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, 9387417 + ... + 9388504.

Almost surely, 2^10214101024 is an apocalyptic number.

It is an amenable number.

10214101024 is an abundant number, since it is smaller than the sum of its proper divisors (11077794524).

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

10214101024 is a wasteful number, since it uses less digits than its factorization.

10214101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18775948 (or 18775940 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10214101024 its reverse (42010141201), we get a palindrome (52224242225).

The spelling of 10214101024 in words is "ten billion, two hundred fourteen million, one hundred one thousand, twenty-four".