101051035040 has 48 divisors (see below), whose sum is σ = 238964567688. Its totient is φ = 40381218816.

The previous prime is 101051035039. The next prime is 101051035093. The reversal of 101051035040 is 40530150101.

It can be written as a sum of positive squares in 4 ways, for example, as 100943456656 + 107578384 = 317716^2 + 10372^2 .

It is a super-2 number, since 2×101051035040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140417 + ... + 470976.

Almost surely, 2^101051035040 is an apocalyptic number.

101051035040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101051035040 is an abundant number, since it is smaller than the sum of its proper divisors (137913532648).

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

101051035040 is a wasteful number, since it uses less digits than its factorization.

101051035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612441 (or 612433 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 101051035040 its reverse (40530150101), we get a palindrome (141581185141).

It can be divided in two parts, 10 and 1051035040, that multiplied together give a square (10510350400 = 102520²).

The spelling of 101051035040 in words is "one hundred one billion, fifty-one million, thirty-five thousand, forty".