10210002121011 has 64 divisors (see below), whose sum is σ = 17421509809152. Its totient is φ = 5165294400000.

The previous prime is 10210002120973. The next prime is 10210002121021. The reversal of 10210002121011 is 11012120001201.

It is not a de Polignac number, because 10210002121011 - 2²¹ = 10210000023859 is a prime.

It is a super-2 number, since 2×10210002121011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10210002121021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2163820 + ... + 5010201.

It is an arithmetic number, because the mean of its divisors is an integer number (272211090768).

Almost surely, 2^{10210002121011} is an apocalyptic number.

10210002121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10210002121011 is a deficient number, since it is larger than the sum of its proper divisors (7211507688141).

10210002121011 is a wasteful number, since it uses less digits than its factorization.

10210002121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174204.

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

Adding to 10210002121011 its reverse (11012120001201), we get a palindrome (21222122122212).

The spelling of 10210002121011 in words is "ten trillion, two hundred ten billion, two million, one hundred twenty-one thousand, eleven".