101201001122221 has 192 divisors, whose sum is σ = 147015397509120. Its totient is φ = 67544902656000.

The previous prime is 101201001122209. The next prime is 101201001122237. The reversal of 101201001122221 is 122221100102101.

It is not a de Polignac number, because 101201001122221 - 2³⁷ = 101063562168749 is a prime.

It is a super-2 number, since 2×101201001122221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201001122195 and 101201001122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201001120221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4518495795 + ... + 4518518191.

It is an arithmetic number, because the mean of its divisors is an integer number (765705195360).

Almost surely, 2^{101201001122221} is an apocalyptic number.

101201001122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201001122221 is a deficient number, since it is larger than the sum of its proper divisors (45814396386899).

101201001122221 is a wasteful number, since it uses less digits than its factorization.

101201001122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22796 (or 22785 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101201001122221 its reverse (122221100102101), we get a palindrome (223422101224322).

The spelling of 101201001122221 in words is "one hundred one trillion, two hundred one billion, one million, one hundred twenty-two thousand, two hundred twenty-one".