1022101132101 has 32 divisors (see below), whose sum is σ = 1560113768448. Its totient is φ = 583073734080.

The previous prime is 1022101132097. The next prime is 1022101132121. The reversal of 1022101132101 is 1012311012201.

It is not a de Polignac number, because 1022101132101 - 2² = 1022101132097 is a prime.

It is a super-3 number, since 3×1022101132101³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101132121) 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, 32414395 + ... + 32445911.

It is an arithmetic number, because the mean of its divisors is an integer number (48753555264).

Almost surely, 2^{1022101132101} is an apocalyptic number.

It is an amenable number.

1022101132101 is a deficient number, since it is larger than the sum of its proper divisors (538012636347).

1022101132101 is a wasteful number, since it uses less digits than its factorization.

1022101132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34081.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1022101132101 its reverse (1012311012201), we get a palindrome (2034412144302).

The spelling of 1022101132101 in words is "one trillion, twenty-two billion, one hundred one million, one hundred thirty-two thousand, one hundred one".