101061050000 has 120 divisors (see below), whose sum is σ = 245373998184. Its totient is φ = 40320000000.

The previous prime is 101061049981. The next prime is 101061050003. The reversal of 101061050000 is 50160101.

It can be written as a sum of positive squares in 12 ways, for example, as 93274046464 + 7787003536 = 305408^2 + 88244^2 .

It is not an unprimeable number, because it can be changed into a prime (101061050003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21047600 + ... + 21052400.

Almost surely, 2^101061050000 is an apocalyptic number.

101061050000 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 101061050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122686999092).

101061050000 is an abundant number, since it is smaller than the sum of its proper divisors (144312948184).

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

101061050000 is an frugal number, since it uses more digits than its factorization.

101061050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 101061050000 in words is "one hundred one billion, sixty-one million, fifty thousand".