10211002111020 has 96 divisors (see below), whose sum is σ = 28858160899008. Its totient is φ = 2697495478272.

The previous prime is 10211002110979. The next prime is 10211002111027. The reversal of 10211002111020 is 2011120011201.

It is a super-2 number, since 2×10211002111020² (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 a junction number, because it is equal to n+sod(n) for n = 10211002110987 and 10211002111005.

It is not an unprimeable number, because it can be changed into a prime (10211002111027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13301922 + ... + 14048598.

It is an arithmetic number, because the mean of its divisors is an integer number (300605842698).

Almost surely, 2^{10211002111020} is an apocalyptic number.

10211002111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211002111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429080449504).

10211002111020 is an abundant number, since it is smaller than the sum of its proper divisors (18647158787988).

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

10211002111020 is a wasteful number, since it uses less digits than its factorization.

10211002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748819 (or 748817 counting only the distinct ones).

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

Adding to 10211002111020 its reverse (2011120011201), we get a palindrome (12222122122221).

The spelling of 10211002111020 in words is "ten trillion, two hundred eleven billion, two million, one hundred eleven thousand, twenty".