10102000001220 has 72 divisors (see below), whose sum is σ = 31470915339864. Its totient is φ = 2621059458048.

The previous prime is 10102000001209. The next prime is 10102000001221. The reversal of 10102000001220 is 2210000020101.

It can be written as a sum of positive squares in 4 ways, for example, as 858928582656 + 9243071418564 = 926784^2 + 3040242^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10102000001221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758401749 + ... + 758415068.

It is an arithmetic number, because the mean of its divisors is an integer number (437096046387).

Almost surely, 2^{10102000001220} is an apocalyptic number.

10102000001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000001220 is an abundant number, since it is smaller than the sum of its proper divisors (21368915338644).

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

10102000001220 is a wasteful number, since it uses less digits than its factorization.

10102000001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516816869 (or 1516816864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102000001220 its reverse (2210000020101), we get a palindrome (12312000021321).

The spelling of 10102000001220 in words is "ten trillion, one hundred two billion, one thousand, two hundred twenty".