1020212130400 has 72 divisors (see below), whose sum is σ = 2522119511520. Its totient is φ = 402919196160.

The previous prime is 1020212130361. The next prime is 1020212130401. The reversal of 1020212130400 is 40312120201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212130401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8008099 + ... + 8134498.

It is an arithmetic number, because the mean of its divisors is an integer number (35029437660).

Almost surely, 2^{1020212130400} is an apocalyptic number.

1020212130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212130400 is an abundant number, since it is smaller than the sum of its proper divisors (1501907381120).

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

1020212130400 is a wasteful number, since it uses less digits than its factorization.

1020212130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16142696 (or 16142683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1020212130400 its reverse (40312120201), we get a palindrome (1060524250601).

The spelling of 1020212130400 in words is "one trillion, twenty billion, two hundred twelve million, one hundred thirty thousand, four hundred".