101011221040 has 40 divisors (see below), whose sum is σ = 234875279520. Its totient is φ = 40400326656.

The previous prime is 101011221023. The next prime is 101011221041. The reversal of 101011221040 is 40122110101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101011221040³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011221040.

It is not an unprimeable number, because it can be changed into a prime (101011221041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785616 + ... + 905104.

It is an arithmetic number, because the mean of its divisors is an integer number (5871881988).

Almost surely, 2^101011221040 is an apocalyptic number.

101011221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011221040 is an abundant number, since it is smaller than the sum of its proper divisors (133864058480).

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

101011221040 is a wasteful number, since it uses less digits than its factorization.

101011221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130069 (or 130063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101011221040 its reverse (40122110101), we get a palindrome (141133331141).

The spelling of 101011221040 in words is "one hundred one billion, eleven million, two hundred twenty-one thousand, forty".