10102218072 has 128 divisors (see below), whose sum is σ = 27287884800. Its totient is φ = 3106276992.

The previous prime is 10102218059. The next prime is 10102218073. The reversal of 10102218072 is 27081220101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102218073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8685763 + ... + 8686925.

It is an arithmetic number, because the mean of its divisors is an integer number (213186600).

Almost surely, 2^10102218072 is an apocalyptic number.

10102218072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102218072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643942400).

10102218072 is an abundant number, since it is smaller than the sum of its proper divisors (17185666728).

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

10102218072 is a wasteful number, since it uses less digits than its factorization.

10102218072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 10102218072 its reverse (27081220101), we get a palindrome (37183438173).

The spelling of 10102218072 in words is "ten billion, one hundred two million, two hundred eighteen thousand, seventy-two".