1020122431400 has 24 divisors (see below), whose sum is σ = 2371784653470. Its totient is φ = 408048972480.

The previous prime is 1020122431337. The next prime is 1020122431403. The reversal of 1020122431400 is 41342210201.

1020122431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 652117621444 + 368004809956 = 807538^2 + 606634^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1020122431403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2550305879 + ... + 2550306278.

Almost surely, 2^{1020122431400} is an apocalyptic number.

1020122431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122431400 is an abundant number, since it is smaller than the sum of its proper divisors (1351662222070).

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

1020122431400 is a wasteful number, since it uses less digits than its factorization.

1020122431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100612173 (or 5100612164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1020122431400 its reverse (41342210201), we get a palindrome (1061464641601).

The spelling of 1020122431400 in words is "one trillion, twenty billion, one hundred twenty-two million, four hundred thirty-one thousand, four hundred".