101220000112101 has 64 divisors (see below), whose sum is σ = 156777371735040. Its totient is φ = 57529134136320.

The previous prime is 101220000112081. The next prime is 101220000112103. The reversal of 101220000112101 is 101211000022101.

It is not a de Polignac number, because 101220000112101 - 2⁹ = 101220000111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220000112103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19724806 + ... + 24320936.

It is an arithmetic number, because the mean of its divisors is an integer number (2449646433360).

Almost surely, 2^{101220000112101} is an apocalyptic number.

It is an amenable number.

101220000112101 is a deficient number, since it is larger than the sum of its proper divisors (55557371622939).

101220000112101 is a wasteful number, since it uses less digits than its factorization.

101220000112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596786.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101220000112101 its reverse (101211000022101), we get a palindrome (202431000134202).

The spelling of 101220000112101 in words is "one hundred one trillion, two hundred twenty billion, one hundred twelve thousand, one hundred one".