1022132103201 has 32 divisors (see below), whose sum is σ = 1651995296640. Its totient is φ = 619449768000.

The previous prime is 1022132103151. The next prime is 1022132103257. The reversal of 1022132103201 is 1023012312201.

1022132103201 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 321 + 0 + 320 + 1 = 666.

It is not a de Polignac number, because 1022132103201 - 2⁹ = 1022132102689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022132103271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10137231 + ... + 10237563.

It is an arithmetic number, because the mean of its divisors is an integer number (51624853020).

Almost surely, 2^{1022132103201} is an apocalyptic number.

1022132103201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022132103201 is a deficient number, since it is larger than the sum of its proper divisors (629863193439).

1022132103201 is a wasteful number, since it uses less digits than its factorization.

1022132103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134654 (or 134648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022132103201 its reverse (1023012312201), we get a palindrome (2045144415402).

The spelling of 1022132103201 in words is "one trillion, twenty-two billion, one hundred thirty-two million, one hundred three thousand, two hundred one".