101203002000 has 480 divisors, whose sum is σ = 359693478144. Its totient is φ = 26517504000.

The previous prime is 101203001947. The next prime is 101203002011. The reversal of 101203002000 is 200302101.

It is a happy number.

It is a super-2 number, since 2×101203002000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393785872 + ... + 393786128.

Almost surely, 2^101203002000 is an apocalyptic number.

101203002000 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 101203002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179846739072).

101203002000 is an abundant number, since it is smaller than the sum of its proper divisors (258490476144).

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

101203002000 is a wasteful number, since it uses less digits than its factorization.

101203002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101203002000 its reverse (200302101), we get a palindrome (101403304101).

The spelling of 101203002000 in words is "one hundred one billion, two hundred three million, two thousand".