10211012019978 has 256 divisors, whose sum is σ = 27831146434560. Its totient is φ = 2417751244800.

The previous prime is 10211012019917. The next prime is 10211012020057. The reversal of 10211012019978 is 87991021011201.

It is a super-2 number, since 2×10211012019978² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26078226 + ... + 26466882.

It is an arithmetic number, because the mean of its divisors is an integer number (108715415760).

Almost surely, 2^{10211012019978} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211012019978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915573217280).

10211012019978 is an abundant number, since it is smaller than the sum of its proper divisors (17620134414582).

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

10211012019978 is a wasteful number, since it uses less digits than its factorization.

10211012019978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388813.

The product of its (nonzero) digits is 18144, while the sum is 42.

The spelling of 10211012019978 in words is "ten trillion, two hundred eleven billion, twelve million, nineteen thousand, nine hundred seventy-eight".