101012201300 has 54 divisors (see below), whose sum is σ = 221481593802. Its totient is φ = 39987962880.

The previous prime is 101012201291. The next prime is 101012201309. The reversal of 101012201300 is 3102210101.

It is an interprime number because it is at equal distance from previous prime (101012201291) and next prime (101012201309).

It can be written as a sum of positive squares in 9 ways, for example, as 33555645124 + 67456556176 = 183182^2 + 259724^2 .

It is a super-2 number, since 2×101012201300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012201309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 887222 + ... + 994578.

Almost surely, 2^101012201300 is an apocalyptic number.

101012201300 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 101012201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110740796901).

101012201300 is an abundant number, since it is smaller than the sum of its proper divisors (120469392502).

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

101012201300 is a wasteful number, since it uses less digits than its factorization.

101012201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107565 (or 107461 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101012201300 its reverse (3102210101), we get a palindrome (104114411401).

The spelling of 101012201300 in words is "one hundred one billion, twelve million, two hundred one thousand, three hundred".