10211110212000 has 192 divisors, whose sum is σ = 34530682088448. Its totient is φ = 2635125120000.

The previous prime is 10211110211999. The next prime is 10211110212091. The reversal of 10211110212000 is 21201111201.

It is a super-2 number, since 2×10211110212000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 13352611 + ... + 14096610.

It is an arithmetic number, because the mean of its divisors is an integer number (179847302544).

Almost surely, 2^{10211110212000} is an apocalyptic number.

10211110212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211110212000 is an abundant number, since it is smaller than the sum of its proper divisors (24319571876448).

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

10211110212000 is a wasteful number, since it uses less digits than its factorization.

10211110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27449280 (or 27449262 counting only the distinct ones).

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

Adding to 10211110212000 its reverse (21201111201), we get a palindrome (10232311323201).

The spelling of 10211110212000 in words is "ten trillion, two hundred eleven billion, one hundred ten million, two hundred twelve thousand".