211221001011020 has 192 divisors, whose sum is σ = 597353876001792. Its totient is φ = 60587277696000.

The previous prime is 211221001011011. The next prime is 211221001011043. The reversal of 211221001011020 is 20110100122112.

It is a super-2 number, since 2×211221001011020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211221001010986 and 211221001011004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9310691 + ... + 22563930.

It is an arithmetic number, because the mean of its divisors is an integer number (3111218104176).

Almost surely, 2^{211221001011020} is an apocalyptic number.

211221001011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221001011020 is an abundant number, since it is smaller than the sum of its proper divisors (386132874990772).

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

211221001011020 is a wasteful number, since it uses less digits than its factorization.

211221001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31874992 (or 31874990 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211221001011020 its reverse (20110100122112), we get a palindrome (231331101133132).

The spelling of 211221001011020 in words is "two hundred eleven trillion, two hundred twenty-one billion, one million, eleven thousand, twenty".