101121012211021 has 16 divisors (see below), whose sum is σ = 111643273617408. Its totient is φ = 90824466063600.

The previous prime is 101121012210983. The next prime is 101121012211069. The reversal of 101121012211021 is 120112210121101.

It is a cyclic number.

It is not a de Polignac number, because 101121012211021 - 2¹⁵ = 101121012178253 is a prime.

It is a super-2 number, since 2×101121012211021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121012210986 and 101121012211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121012211421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103050741 + ... + 104027386.

It is an arithmetic number, because the mean of its divisors is an integer number (6977704601088).

Almost surely, 2^{101121012211021} is an apocalyptic number.

101121012211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121012211021 is a deficient number, since it is larger than the sum of its proper divisors (10522261406387).

101121012211021 is a wasteful number, since it uses less digits than its factorization.

101121012211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207078672.

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

Adding to 101121012211021 its reverse (120112210121101), we get a palindrome (221233222332122).

It can be divided in two parts, 1011210 and 12211021, that added together give a palindrome (13222231).

The spelling of 101121012211021 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, twenty-one".