212122110201000 has 64 divisors (see below), whose sum is σ = 661820983836480. Its totient is φ = 56565896052800.

The previous prime is 212122110200933. The next prime is 212122110201073. The reversal of 212122110201000 is 102011221212.

It is a super-2 number, since 2×212122110201000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35353682034 + ... + 35353688033.

It is an arithmetic number, because the mean of its divisors is an integer number (10340952872445).

Almost surely, 2^{212122110201000} is an apocalyptic number.

212122110201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122110201000 is an abundant number, since it is smaller than the sum of its proper divisors (449698873635480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212122110201000 is a wasteful number, since it uses less digits than its factorization.

212122110201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70707370091 (or 70707370077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212122110201000 its reverse (102011221212), we get a palindrome (212224121422212).

The spelling of 212122110201000 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred one thousand".