21011101121010 has 384 divisors, whose sum is σ = 68599926743040. Its totient is φ = 4007575503360.

The previous prime is 21011101120987. The next prime is 21011101121033. The reversal of 21011101121010 is 1012110111012.

It is an interprime number because it is at equal distance from previous prime (21011101120987) and next prime (21011101121033).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58951399 + ... + 59306741.

It is an arithmetic number, because the mean of its divisors is an integer number (178645642560).

Almost surely, 2^{21011101121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011101121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34299963371520).

21011101121010 is an abundant number, since it is smaller than the sum of its proper divisors (47588825622030).

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

21011101121010 is a wasteful number, since it uses less digits than its factorization.

21011101121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355574 (or 355563 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21011101121010 its reverse (1012110111012), we get a palindrome (22023211232022).

The spelling of 21011101121010 in words is "twenty-one trillion, eleven billion, one hundred one million, one hundred twenty-one thousand, ten".