10201031202240 has 168 divisors, whose sum is σ = 35091725254560. Its totient is φ = 2719931664384.

The previous prime is 10201031202211. The next prime is 10201031202277. The reversal of 10201031202240 is 4220213010201.

It is a happy number.

10201031202240 is a `hidden beast` number, since 102 + 0 + 10 + 312 + 0 + 2 + 240 = 666.

It is a super-2 number, since 2×10201031202240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23019237 + ... + 23458203.

Almost surely, 2^{10201031202240} is an apocalyptic number.

10201031202240 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 10201031202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545862627280).

10201031202240 is an abundant number, since it is smaller than the sum of its proper divisors (24890694052320).

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

10201031202240 is a wasteful number, since it uses less digits than its factorization.

10201031202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447059 (or 447046 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10201031202240 its reverse (4220213010201), we get a palindrome (14421244212441).

The spelling of 10201031202240 in words is "ten trillion, two hundred one billion, thirty-one million, two hundred two thousand, two hundred forty".