101002101200 has 240 divisors, whose sum is σ = 325807230336. Its totient is φ = 29059430400.

The previous prime is 101002101133. The next prime is 101002101223. The reversal of 101002101200 is 2101200101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274274 + ... + 526526.

Almost surely, 2^101002101200 is an apocalyptic number.

101002101200 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 101002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162903615168).

101002101200 is an abundant number, since it is smaller than the sum of its proper divisors (224805129136).

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

101002101200 is a wasteful number, since it uses less digits than its factorization.

101002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252302 (or 252291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002101200 its reverse (2101200101), we get a palindrome (103103301301).

It can be divided in two parts, 101002 and 101200, that added together give a palindrome (202202).

The spelling of 101002101200 in words is "one hundred one billion, two million, one hundred one thousand, two hundred".