101220130000 has 150 divisors (see below), whose sum is σ = 269371150202. Its totient is φ = 36806880000.

The previous prime is 101220129971. The next prime is 101220130001. The reversal of 101220130000 is 31022101.

It can be written as a sum of positive squares in 5 ways, for example, as 76766676624 + 24453453376 = 277068^2 + 156376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220130001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1168174 + ... + 1251826.

Almost surely, 2^101220130000 is an apocalyptic number.

101220130000 is a gapful number since it is divisible by the number (10) 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 101220130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134685575101).

101220130000 is an abundant number, since it is smaller than the sum of its proper divisors (168151020202).

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

101220130000 is an equidigital number, since it uses as much as digits as its factorization.

101220130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83703 (or 83671 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101220130000 its reverse (31022101), we get a palindrome (101251152101).

The spelling of 101220130000 in words is "one hundred one billion, two hundred twenty million, one hundred thirty thousand".