101203010000 has 200 divisors, whose sum is σ = 250241603304. Its totient is φ = 39628800000.

The previous prime is 101203009979. The next prime is 101203010017. The reversal of 101203010000 is 10302101.

It can be written as a sum of positive squares in 20 ways, for example, as 61621111696 + 39581898304 = 248236^2 + 198952^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101203010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97969484 + ... + 97970516.

Almost surely, 2^101203010000 is an apocalyptic number.

101203010000 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 101203010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125120801652).

101203010000 is an abundant number, since it is smaller than the sum of its proper divisors (149038593304).

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

101203010000 is a wasteful number, since it uses less digits than its factorization.

101203010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 101203010000 its reverse (10302101), we get a palindrome (101213312101).

The spelling of 101203010000 in words is "one hundred one billion, two hundred three million, ten thousand".