1020114210401 has 16 divisors (see below), whose sum is σ = 1204665504000. Its totient is φ = 851604433920.

The previous prime is 1020114210389. The next prime is 1020114210421. The reversal of 1020114210401 is 1040124110201.

1020114210401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1020114210401 - 2²² = 1020110016097 is a prime.

It is a super-3 number, since 3×1020114210401³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020114210401.

It is not an unprimeable number, because it can be changed into a prime (1020114210421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18453401 + ... + 18508598.

It is an arithmetic number, because the mean of its divisors is an integer number (75291594000).

Almost surely, 2^{1020114210401} is an apocalyptic number.

1020114210401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020114210401 is a deficient number, since it is larger than the sum of its proper divisors (184551293599).

1020114210401 is a wasteful number, since it uses less digits than its factorization.

1020114210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36962216.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1020114210401 its reverse (1040124110201), we get a palindrome (2060238320602).

The spelling of 1020114210401 in words is "one trillion, twenty billion, one hundred fourteen million, two hundred ten thousand, four hundred one".