101112212202001 has 256 divisors, whose sum is σ = 148906889478144. Its totient is φ = 66044160000000.

The previous prime is 101112212201953. The next prime is 101112212202013. The reversal of 101112212202001 is 100202212211101.

It is not a de Polignac number, because 101112212202001 - 2⁷ = 101112212201873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112212202061) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13754888476 + ... + 13754895826.

It is an arithmetic number, because the mean of its divisors is an integer number (581667537024).

Almost surely, 2^{101112212202001} is an apocalyptic number.

101112212202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112212202001 is a deficient number, since it is larger than the sum of its proper divisors (47794677276143).

101112212202001 is a wasteful number, since it uses less digits than its factorization.

101112212202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7704.

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

Adding to 101112212202001 its reverse (100202212211101), we get a palindrome (201314424413102).

The spelling of 101112212202001 in words is "one hundred one trillion, one hundred twelve billion, two hundred twelve million, two hundred two thousand, one".