101012200440 has 32 divisors (see below), whose sum is σ = 303036601680. Its totient is φ = 26936586752.

The previous prime is 101012200433. The next prime is 101012200447. The reversal of 101012200440 is 44002210101.

101012200440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101012200433) and next prime (101012200447).

It is a super-3 number, since 3×101012200440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012200447) 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, 420884049 + ... + 420884288.

Almost surely, 2^101012200440 is an apocalyptic number.

101012200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012200440 is an abundant number, since it is smaller than the sum of its proper divisors (202024401240).

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

101012200440 is a wasteful number, since it uses less digits than its factorization.

101012200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841768351 (or 841768347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101012200440 its reverse (44002210101), we get a palindrome (145014410541).

The spelling of 101012200440 in words is "one hundred one billion, twelve million, two hundred thousand, four hundred forty".