102101001220 has 24 divisors (see below), whose sum is σ = 221805624600. Its totient is φ = 39432110592.

The previous prime is 102101001151. The next prime is 102101001251. The reversal of 102101001220 is 22100101201.

It can be written as a sum of positive squares in 4 ways, for example, as 1445824576 + 100655176644 = 38024^2 + 317262^2 .

It is a super-2 number, since 2×102101001220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101001197 and 102101001206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88017525 + ... + 88018684.

It is an arithmetic number, because the mean of its divisors is an integer number (9241901025).

Almost surely, 2^102101001220 is an apocalyptic number.

102101001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101001220 is an abundant number, since it is smaller than the sum of its proper divisors (119704623380).

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

102101001220 is a wasteful number, since it uses less digits than its factorization.

102101001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176036247 (or 176036245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101001220 its reverse (22100101201), we get a palindrome (124201102421).

The spelling of 102101001220 in words is "one hundred two billion, one hundred one million, one thousand, two hundred twenty".